Turito Academy

Test Prep

Global form fields

The differential equation of all non-vertical lines in a plane is :

Solution for the question - the differential equation of all non-vertical lines in a plane is : (d^(2)x)/(dy^(2))=0 (d^(2)y)/(dx^(2))=0 (dx)/(dy)=0 (dy)/(dx)=0

The differential equation of all non-vertical lines in a plane -Turito

PSAT

One-On-One Tutoring

Your gateway to the top global universities

Coding

Discover traits & skills, get a clear pathway to academic success.

Discovery Program

The differential equation of all conics with the coordinate axes, is of order

Solution for the question - the differential equation of all conics with the coordinate axes, is oforder 4321

The differential equation of all conics with the coordinate axe-Turito

If the algebraic sum of distances of points (2, 1) (3, 2) and (­-4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose coordinate is

Solution for the question - if the algebraic sum of distances of points (2, 1) (3, 2) and (-4, 7)from the line y = mx + c is zero, then this line will always pa

If the algebraic sum of distances of points (2, 1) (3, 2) and (-Turito

A particle moves in a straight line with velocity given by <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAjCAYAAAAKTC24AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAdhJREFUeNrtmTFIw0AUhoODiIiLiEMHQcTBQQSHDg4iOIg4iJtjEZwc3DpJBxenIuIqIiKFIg4iLiLiIC4ixUHEVVzFqYhL/A9eIV4uzZleqqT/Bx80lwTk5+5yz+d5yajDLo84YRQ+MgZ3LMEKY0hGH9yFH/ATnsA9WAw8swq3De9uyT0iqD3yGhbkdz8sQV9maZAHOBS4LkjwJMCmNhMbvMCcNjYPy/J7Dl4xvjCvsuT1WVuPeP4SzsAaHGB8P5mEN4bxvGwDJjbgF5xgfGGW4ZFhfAUeGMan5YNVlmeI4WhUNYyrkNe0sRF4Bntli7jnkg+jwnmSpa+YgufwDS4EnhuEF1qAixGzu+NRx6BTOX/ewVn4DnvkfrfczxnerciXP6uMySmoxmnihsbW5zMKM36b3/vXuCh9Mxeob2EzWi19OUMdl76pBOq3wTT5Tenr6m/N7JJvtfTlkndc+jJQx6UvA3Vc+jLQPy59U/vgsp3sEL2drK5vGUty9Hay+qf0MWOxI66dXNL2kyIji8a2nVz1wu1lYsC2nfwMhxlXPDbt5GbtZRLAtp2cj3iOaNi2k9X1IeOyOxrZtJN34Drjise2nayOUPuMy464drJiXEL2pcbuWL4Botqxp2PPh6MAAAC4dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93PjxtaT5kPC9taT48bWk+eDwvbWk+PC9tcm93Pjxtcm93PjxtaT5kPC9taT48bWk+dDwvbWk+PC9tcm93PjwvbWZyYWM+PG1vPj08L21vPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjE8L21uPjwvbWF0aD7NgWe9AAAAAElFTkSuQmCC" class="Wirisformula" alt="fraction numerator d x over denominator d t end fraction equals x plus 1" width="84" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»t«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mi»x«/mi»«mo»+«/mo»«mn»1«/mn»«/math»'/> (x being the distance described). The time taken by the particle to describe 99 meters is:

Solution for the question - a particle moves in a straight line with velocity given by (dx)/(dt)=x+1(x being the distance described). the time taken by the part

A particle moves in a straight line with velocity given by (d-Turito

Given,<img src="data:image/png;base64,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" class="Wirisformula" alt="y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1" width="151" height="45" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»y«/mi»«mi mathvariant=¨normal¨»§#8242;«/mi»«/msup»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»,«/mo»«mi»y«/mi»«mo»(«/mo»«mn»1«/mn»«mo»)«/mo»«mo»=«/mo»«mn»1«/mn»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction
rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction
rightwards double arrow open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript open parentheses 1 comma 0 close parentheses end subscript equals fraction numerator 1 squared plus 0 squared over denominator 1 squared minus 0 squared end fraction
space space space space space space space space space space space space space space space space space space space space space space equals 1 over 1 equals 1" width="169" height="195" style="vertical-align:-98px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»y«/mi»«mi mathvariant=¨normal¨»§#8242;«/mi»«/msup»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#8658;«/mo»«msub»«mfenced»«mfrac»«mrow»«mi»d«/mi»«mi»y«/mi»«/mrow»«mrow»«mi»d«/mi»«mi»x«/mi»«/mrow»«/mfrac»«/mfenced»«mfenced»«mrow»«mn»1«/mn»«mo»,«/mo»«mn»0«/mn»«/mrow»«/mfenced»«/msub»«mo»=«/mo»«mfrac»«mrow»«msup»«mn»1«/mn»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mn»0«/mn»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mn»1«/mn»«mn»2«/mn»«/msup»«mo»-«/mo»«msup»«mn»0«/mn»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mspace linebreak=¨newline¨/»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mo»=«/mo»«mfrac»«mn»1«/mn»«mn»1«/mn»«/mfrac»«mo»=«/mo»«mn»1«/mn»«/math»'/>

Integral curve satisfying <img src="data:image/png;base64,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" class="Wirisformula" alt="y to the power of straight prime equals fraction numerator x squared plus y squared over denominator x squared minus y squared end fraction comma y left parenthesis 1 right parenthesis equals 1" width="151" height="45" style="vertical-align:-18px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»y«/mi»«mi mathvariant=¨normal¨»§#8242;«/mi»«/msup»«mo»=«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»§#8722;«/mo»«msup»«mi»y«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfrac»«mo»,«/mo»«mi»y«/mi»«mo»(«/mo»«mn»1«/mn»«mo»)«/mo»«mo»=«/mo»«mn»1«/mn»«/math»'/> has the slope at the point (1, 0) of the curve, equal to :

Solution for the question - integral curve satisfying y^(')=(x^(2)+y^(2))/(x^(2)-y^(2)),y(1)=1 hasthe slope at the point (1, 0) of the curve, equal to : (5)/(3) '/>

Integral curve satisfying y^(')=(x^(2)+y^(2))/(x^(2)-y^(2)),y-Turito

If integrating factor of <img src="data:image/png;base64,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" class="Wirisformula" alt="x open parentheses 1 minus x squared close parentheses d y plus open parentheses 2 x squared y minus y minus a x cubed close parentheses d x" width="243" height="19" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»x«/mi»«mfenced separators=¨|¨»«mrow»«mn»1«/mn»«mo»§#8722;«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«/mrow»«/mfenced»«mi»d«/mi»«mi»y«/mi»«mo»+«/mo»«mfenced separators=¨|¨»«mrow»«mn»2«/mn»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mi»y«/mi»«mo»§#8722;«/mo»«mi»y«/mi»«mo»§#8722;«/mo»«mi»a«/mi»«msup»«mi»x«/mi»«mn»3«/mn»«/msup»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»'/> is <img src="data:image/png;base64,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" class="Wirisformula" alt="e to the power of JPdx" width="36" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mi»e«/mi»«mi»JPdx«/mi»«/msup»«/math»'/> then P is

Solution for the question - if integrating factor ofisthen p is '/> '/> '/> '/>

If integrating factor ofisthen p is -Turito

Cathode rays are made to pass between the poles of a magnet as shown in figure The effect of magnetic field is <img src="data:image/png;base64,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" alt="" width="253" height="163" />

Solution for the question - cathode rays are made to pass between the poles of a magnet as shown infigure the effect of magnetic field is to increase the velocity of the rays

Cathode rays are made to pass between the poles of a magnet as -Turito

A neutron, a proton, an electron and an alpha particle enter a region of constant magnetic field with equal velocities The magnetic field is along the inward normal to the plane of the paper The tracks of the particles are labled in the figure The electron follows ____ track and alpha particle follows track ______ <img src="data:image/png;base64,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" alt="" width="204" height="193" />

Solution for the question - a neutron, a proton, an electron and an alpha particle enter a region ofconstant magnetic field with equal velocities the magnetic f

A neutron, a proton, an electron and an alpha particle enter a -Turito

Solution for the question - a graph regarding photoeletric effect is shown between the maximum kineticenergy of electrons and the frequency of the incident ligh

A graph regarding photoeletric effect is shown between the maxi-Turito

The graph between the stopiing potential <img src="data:image/png;base64,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" class="Wirisformula" alt="open parentheses V subscript 0 end subscript close parentheses" width="31" height="20" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfenced separators=¨|¨»«mrow»«msub»«mrow»«mi»V«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/mrow»«/mfenced»«/math»'/>and <img src="data:image/png;base64,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" class="Wirisformula" alt="left parenthesis 1 divided by lambda right parenthesis" width="41" height="16" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»(«/mo»«mn»1«/mn»«mo»/«/mo»«mi»λ«/mi»«mo»)«/mo»«/math»'/> is shown in figure, <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAARCAYAAABNV/VxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAV1JREFUeNpjYMAPvgExEwPtAdXtUQHiS3RwOE3sCQLipXRwPNXsYQPieiC+D8R/oPg5EFdT2cFUtwdk4GEgng2NylVAHADElkD8EIiLqOhwqtsDColJSPwbQCwLZXsA8UkqOZ7q9oBy+ksgFkbif0OS5wHi11RwOE3sMQbio0h8cyDej8bfSwXH08QePyBeh8SPBOL5SPxyIG7Gok8NiGuB+AIN7fkPxb+gHldBNxSWWWAAlCaToWxJIH6KlC6RwWIgToMaTgwg1x5YEssC4nPYJK8B8Uwg5gPiTUDsBcSOQHwXiOMJOAqb45dDxQOoaA8I/MAmKA3EG6CS/6H0biC2JcJAUhxPiT32QHyQUDn8gcQ8gyvZLIeGLDXskYSmeSV8irzQMhW5jjcA4itAzEIFe0AFwxaoB/CCeLRKhFzHg5KHOBXsATl4GzSP0AT8Z6AdADlcg1aORsd0swMAU7dwsN8E0qYAAACXdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPiYjeDNENTs8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPiw8L21vPjxtc3ViPjxtaT4mI3gzRDU7PC9taT48bW4+MjwvbW4+PC9tc3ViPjwvbWF0aD55NUXMAAAAAElFTkSuQmCC" class="Wirisformula" alt="ϕ subscript 1 end subscript comma ϕ subscript 2 end subscript" width="47" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»ϕ«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»,«/mo»«msub»«mrow»«mi»ϕ«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/>and <img src="data:image/png;base64,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" class="Wirisformula" alt="ϕ subscript 3 end subscript" width="21" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»ϕ«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msub»«/math»'/> are work functions Which of the following is <img src="https://mycourses.turito.com/pluginfile.php/1/question/questiontext/459930/1/937888/Picture88.png" alt="" />

Solution for the question - the graph between the stopiing potential (v_(0)) and (1//lambda) is shownin figure, phi_(1),phi_(2) and phi_(3) are work functions w

The graph between the stopiing potential (v_(0)) and (1//lambda-Turito

The equation of circle which touches the line 5x + 12 y =1 and which has its centre at (3, 4) is:

Solution for the question - the equation of circle which touches the line 5x + 12 y =1 and which hasits centre at (3, 4) is: none of these(x-3)^(2)+(y-4)^(2)=((62)/(13))^(2)

The equation of circle which touches the line 5x + 12 y =1 and -Turito

1. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487106/1/937740/Picture10.png" alt="" width="146" height="68" /> 2. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487106/1/937740/Picture12.png" alt="" width="173" height="65" /> 3. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487106/1/937740/Picture13.png" alt="" width="173" height="61" /> 4. <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/487106/1/937740/Picture14.png" alt="" width="155" height="60" /> Identify the wrong description of the above figures

Solution for the question - 1. 2. 3. 4. identify the wrong description of the above figures 4 correction for far-sightedness3 represents far sightedness

1. 2. 3. 4. identify the wrong description of the above figures-Turito

Solution for the question - match the list i with the list ii from the combinations shown i-d; ii-a; iii-c; iv-bi-d; ii-b; iii-a; iv-c

Match the list i with the list ii from the combinations shown-Turito

Resolving limit of eye is one minute (1').

The resolving limit of healthy eye is about

Solution for the question - the resolving limit of healthy eye is about (1)/(60)   10   1^('')   1 or ((1)/(60))

The resolving limit of healthy eye is about-Turito

For viewing far objects, concave lenses are used and for concave lens u = wants to see <img src="data:image/png;base64,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" class="Wirisformula" alt="equals negative 60 c m" width="78" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mo»-«/mo»«mn»60«/mn»«mi»c«/mi»«mi»m«/mi»«/math»'/>; v = can see<img src="data:image/png;base64,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" class="Wirisformula" alt="equals negative 15 c m" width="78" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mo»-«/mo»«mn»15«/mn»«mi»c«/mi»«mi»m«/mi»«/math»'/> so from <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator 1 over denominator f end fraction equals fraction numerator 1 over denominator v end fraction minus fraction numerator 1 over denominator u end fraction rightwards double arrow f equals negative 20 c m" width="194" height="37" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mi»f«/mi»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mi»v«/mi»«/mrow»«/mfrac»«mo»-«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mi»u«/mi»«/mrow»«/mfrac»«mo»⇒«/mo»«mi»f«/mi»«mo»=«/mo»«mo»-«/mo»«mn»20«/mn»«mi»c«/mi»«mi»m«/mi»«/math»'/>.

A person is suffering from myopic defect. He is able to see clear objects placed at 15 cm. What type and of what focal length of lens he should use to see clearly the object placed 60 cm away

Solution for the question - a person is suffering from myopic defect. he is able to see clear objectsplaced at 15 cm. what type and of what focal length of lens

A person is suffering from myopic defect. he is able to see cle-Turito

In minimum deviation position refracted ray inside the prism is parallel to the base of the prism

A ray of light is incident on an equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true <img src="data:image/png;base64,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" alt="" />

Solution for the question - a ray of light is incident on an equilateral glass prism placed on ahorizontal table. for minimum deviation which of the following i