Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

If $open parentheses table row cell x minus 2 y end cell cell 5 y end cell row 6 cell a minus 2 b end cell end table close parentheses equals 5 open parentheses table attributes columnalign left end attributes row 4 2 row cell fraction numerator b over denominator 5 end fraction end cell 6 end table close parentheses$ then a + x =

42
24
60
66

hint Hint:

Two matrices are said to be equal if: Both the matrices are of the same order i.e., they have the same number of rows and columns A m × n = B m × n . If the elements of the first matrix are equal to the corresponding elements in the second matrix a i j = b i j .

The correct answer is: 66

Given : $open parentheses table row cell x minus 2 y end cell cell 5 y end cell row 6 cell a minus 2 b end cell end table close parentheses equals 5 open parentheses table attributes columnalign left end attributes row 4 2 row cell fraction numerator b over denominator 5 end fraction end cell 6 end table close parentheses$
$rightwards double arrow space open square brackets table row cell x space minus space 2 y end cell cell 5 y end cell row 6 cell a minus space 2 b end cell end table close square brackets space equals space open square brackets table row 20 10 row b 30 end table close square brackets$
Equating corresponding elements, we get
x - 2y = 20
5y = 10 , y = 2
Substitute they value of y in x - 2y = 20 and find x
x - 2(2) = 20
x = 24
b = 6
a- 2b = 30
a - 2(6) = 30
a = 42
a + x = 42 + 24 = 66

Related Questions to study

Which of the following statements about the interstitial compounds is incorrect?

Which of the following statements about the interstitial compounds is incorrect?

chemistry-General

Potential energy of a satellite having mass m and rotating at a height of 6.4 $cross times 10 to the power of 6$ m from the surface of earth

Potential energy of a satellite having mass m and rotating at a height of 6.4 $cross times 10 to the power of 6$ m from the surface of earth

The slant height of a cone is fixed as 7 cm. If the rate of increase in its height is 0.3 cm/sec. Then the rate of increase in volume when the height is 4cm

The slant height of a cone is fixed as 7 cm. If the rate of increase in its height is 0.3 cm/sec. Then the rate of increase in volume when the height is 4cm

parallel

A satellite with K.E. E_K is revolving round the earth in a circular orbit. How much more K.E. should be given to it so that it may just escape into outer space?

A satellite with K.E. E_K is revolving round the earth in a circular orbit. How much more K.E. should be given to it so that it may just escape into outer space?

If A,B,C are the maximum velocities of the particles moving according to the law $S equals 60 t minus 5 t to the power of 3 end exponent comma S equals 6 t minus fraction numerator 1 over denominator 2 end fraction t to the power of 3 end exponent comma S equals 10 t minus 7 t to the power of 3 end exponent$ respectively then the ascending order of A,B,C is

If A,B,C are the maximum velocities of the particles moving according to the law $S equals 60 t minus 5 t to the power of 3 end exponent comma S equals 6 t minus fraction numerator 1 over denominator 2 end fraction t to the power of 3 end exponent comma S equals 10 t minus 7 t to the power of 3 end exponent$ respectively then the ascending order of A,B,C is

A satellite moves around the earth in a circular orbit of radius r with speed v, If mass of the satellite is M, its total energy is

A satellite moves around the earth in a circular orbit of radius r with speed v, If mass of the satellite is M, its total energy is

parallel

Which one of the following d-block elements has half-filled penultimate d-subshell as well as half filled penultimate d-subshell as well as half filled valence s-subshell?

Which one of the following d-block elements has half-filled penultimate d-subshell as well as half filled penultimate d-subshell as well as half filled valence s-subshell?

chemistry-General

A conical vessel of height 10ft and semivertical angle $30 to the power of ring operator end exponent$ is full of water. If empties in such away that the height at the water in the vessel is decreasing at a constant rate of 1ft/min. Then the rate at which the volume of water in the vessel is decreasing when its height is 6ft. is

A conical vessel of height 10ft and semivertical angle $30 to the power of ring operator end exponent$ is full of water. If empties in such away that the height at the water in the vessel is decreasing at a constant rate of 1ft/min. Then the rate at which the volume of water in the vessel is decreasing when its height is 6ft. is

If the gravitational force between two objects were proportional to $1 over R$ (and not as $1 over R squared$ )where R is separation between them, then a particle in circular orbit under such a force would have, its orbital speed v proportional to

If the gravitational force between two objects were proportional to $1 over R$ (and not as $1 over R squared$ )where R is separation between them, then a particle in circular orbit under such a force would have, its orbital speed v proportional to

parallel

The surface area of a sphere increases at the rate of 1 sq. ft per second, then the rate of increase of volume when the radius is $3 f t$ is

The surface area of a sphere increases at the rate of 1 sq. ft per second, then the rate of increase of volume when the radius is $3 f t$ is

If $f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank f o r x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank f o r x equals 1 end cell end table close$ , then $f to the power of ´ end exponent left parenthesis 1 right parenthesis$ is equal to

If $f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator x minus 1 over denominator 2 x to the power of 2 end exponent minus 7 x plus 5 end fraction comma blank f o r x not equal to 1 end cell row cell negative fraction numerator 1 over denominator 3 end fraction comma blank f o r x equals 1 end cell end table close$ , then $f to the power of ´ end exponent left parenthesis 1 right parenthesis$ is equal to

Which of the following arrangements does not represent the correct order of the property stated against it?

Which of the following arrangements does not represent the correct order of the property stated against it?

chemistry-General

parallel

Magnetic moment of Cr (Z = 24), Mn⁺ (Z = 25) and Fe²⁺ (Z = 26) are a,b,c. They are in the order:

Magnetic moment of Cr (Z = 24), Mn⁺ (Z = 25) and Fe²⁺ (Z = 26) are a,b,c. They are in the order:

chemistry-General

A geo-stationary satellite is orbiting the earth of a height of above the surface of earth, R. being the radius of earth. The time period of another satellite at a height of 2.5R from the surface fo earth is hr

A geo-stationary satellite is orbiting the earth of a height of above the surface of earth, R. being the radius of earth. The time period of another satellite at a height of 2.5R from the surface fo earth is hr

A point $P$ is moving with uniform velocity $v$ along a line AB.'O' is a point on the line perpendicular drawn to AB at A and at a distance ' l' from it. The angular velocity of P about 'O' is

A point $P$ is moving with uniform velocity $v$ along a line AB.'O' is a point on the line perpendicular drawn to AB at A and at a distance ' l' from it. The angular velocity of P about 'O' is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.