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General

Easy

Question

An ellipse slides between two perpendicular straight lines $x equals 0 blank a n d blank Y equals 0$ then, locus of its foci is

a parabola
an ellipse
a circle
none of these

The correct answer is: none of these

…. (1)
… (2)

Related Questions to study

If there are exactly two points on the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ whose distance from its centre is same and is equal to $square root of fraction numerator a to the power of 2 end exponent plus 2 b to the power of 2 end exponent over denominator 2 end fraction end root$ then eccentricity of the ellipse is

If there are exactly two points on the ellipse $fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1$ whose distance from its centre is same and is equal to $square root of fraction numerator a to the power of 2 end exponent plus 2 b to the power of 2 end exponent over denominator 2 end fraction end root$ then eccentricity of the ellipse is

Tangent at any point of ellipse $9 x to the power of 2 end exponent plus 16 y to the power of 2 end exponent minus 144 equals 0$ is drawn. Eccentric
angle of ‘ P’ is $theta equals fraction numerator 1 over denominator 2 end fraction s i n to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator 7 end fraction close parentheses$ If is the foot of perpendicular from centre $blank ´ O blank ´$ to this tangent then $angle P O N$ is

Tangent at any point of ellipse $9 x to the power of 2 end exponent plus 16 y to the power of 2 end exponent minus 144 equals 0$ is drawn. Eccentric
angle of ‘ P’ is $theta equals fraction numerator 1 over denominator 2 end fraction s i n to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator 7 end fraction close parentheses$ If is the foot of perpendicular from centre $blank ´ O blank ´$ to this tangent then $angle P O N$ is

If the curve $x to the power of 2 end exponent plus 3 y to the power of 2 end exponent equals 9$ subtends as obtuse angle at the point $left parenthesis 2 alpha comma alpha right parenthesis left parenthesis left parenthesis alpha element of text int end text text eger end text text end text right parenthesis$ , $blank left parenthesis alpha element of text int eger end text right parenthesis$ then a possible value of is

If the curve $x to the power of 2 end exponent plus 3 y to the power of 2 end exponent equals 9$ subtends as obtuse angle at the point $left parenthesis 2 alpha comma alpha right parenthesis left parenthesis left parenthesis alpha element of text int end text text eger end text text end text right parenthesis$ , $blank left parenthesis alpha element of text int eger end text right parenthesis$ then a possible value of is

parallel

Let $Q equals left parenthesis 3 comma square root of 5 right parenthesis comma R equals left parenthesis 7 , 3 square root of 5 right parenthesis$ . A point P in the XY-plane varies in such a way that perimeter of $capital delta P Q R$ is 16. Then the maximum area of $capital delta P Q R$ is

Let $Q equals left parenthesis 3 comma square root of 5 right parenthesis comma R equals left parenthesis 7 , 3 square root of 5 right parenthesis$ . A point P in the XY-plane varies in such a way that perimeter of $capital delta P Q R$ is 16. Then the maximum area of $capital delta P Q R$ is

$P comma Q blank$ are points on the ellipse $fraction numerator x to the power of 2 end exponent over denominator 25 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 16 end fraction equals 1$ such that $P Q$ is a chord through the point $R left parenthesis 3 , 0 right parenthesis text . end text$ If $vertical line P R vertical line equals 2$ then length of chord $P Q$ is

$P comma Q blank$ are points on the ellipse $fraction numerator x to the power of 2 end exponent over denominator 25 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 16 end fraction equals 1$ such that $P Q$ is a chord through the point $R left parenthesis 3 , 0 right parenthesis text . end text$ If $vertical line P R vertical line equals 2$ then length of chord $P Q$ is

If $f left parenthesis x right parenthesis$ is a decreasing function for all $x element of R$ and $f left parenthesis x right parenthesis greater than 0 for all x element of R$ then the range of K so that the equation $fraction numerator x to the power of 2 end exponent over denominator f open parentheses K to the power of 2 end exponent plus 2 K plus 5 close parentheses end fraction plus fraction numerator y to the power of 2 end exponent over denominator f left parenthesis K plus 11 right parenthesis end fraction equals 1$ represents an ellipse whose major axis is the X-axis is

If $f left parenthesis x right parenthesis$ is a decreasing function for all $x element of R$ and $f left parenthesis x right parenthesis greater than 0 for all x element of R$ then the range of K so that the equation $fraction numerator x to the power of 2 end exponent over denominator f open parentheses K to the power of 2 end exponent plus 2 K plus 5 close parentheses end fraction plus fraction numerator y to the power of 2 end exponent over denominator f left parenthesis K plus 11 right parenthesis end fraction equals 1$ represents an ellipse whose major axis is the X-axis is

parallel

From the focus $left parenthesis negative 5 , 0 right parenthesis$ of the ellipse $fraction numerator x to the power of 2 end exponent over denominator 45 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 20 end fraction equals 1$ a ray of light is sent which makes angle $c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator negative 1 over denominator square root of 5 end fraction close parentheses$ with the positive direction of X-axis upon reacting the ellipse the ray is reflected from it. Slope of the reflected ray is

From the focus $left parenthesis negative 5 , 0 right parenthesis$ of the ellipse $fraction numerator x to the power of 2 end exponent over denominator 45 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 20 end fraction equals 1$ a ray of light is sent which makes angle $c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator negative 1 over denominator square root of 5 end fraction close parentheses$ with the positive direction of X-axis upon reacting the ellipse the ray is reflected from it. Slope of the reflected ray is

If the tangent at Point P to the ellipse 16x² + 11y² = 256 is also the tangent to the circle x² + y² - 2x = 15, then the eccentric angle of point P is

If the tangent at Point P to the ellipse 16x² + 11y² = 256 is also the tangent to the circle x² + y² - 2x = 15, then the eccentric angle of point P is

If the curve x² + 3y² = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a² is

If the curve x² + 3y² = 9 subtends an obtuse angle at the point (2a, a), then a possible value of a² is

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The protective covering over radical during the germination of seeds is

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Determine the potential at point B, assuming point A to be at zero potential
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869608/1/201040/Picture9.jpeg" alt="" width="160" height="108"

Determine the potential at point B, assuming point A to be at zero potential
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/869608/1/201040/Picture9.jpeg" alt="" width="160" height="108"

Physics-General

The domain of the function $f left parenthesis x right parenthesis equals l o g subscript 10 end subscript invisible function application left parenthesis square root of x minus 4 end root plus square root of 6 minus x end root right parenthesis$ is

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parallel

Alkaline pyrogallic acid is used for absorbing _______ during experiments on germination

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The maximum speed with which a car can cross a convex bridge over a river with radius of curvature 9 m is : (given that the centre of gravity of car is 1m above the road)-

The maximum speed with which a car can cross a convex bridge over a river with radius of curvature 9 m is : (given that the centre of gravity of car is 1m above the road)-

The roadway of a bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which a motor cycle can cross the bridge without leaving ground.

The roadway of a bridge over a canal is in the form of a circular arc of radius 18 m. What is the greatest speed with which a motor cycle can cross the bridge without leaving ground.

parallel

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