Commerce (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

If x = a sin 2t (1 + cos2t) and y = b cos 2t (1 – cos 2t), find the values of  `dy/dx `at t = `pi/4`

If x = a sin 2t (1 + cos 2t) and y = b cos 2t (1 – cos 2t) then find `dy/dx `

Find the value of `dy/dx " at " theta =pi/4 if x=ae^theta (sintheta-costheta) and y=ae^theta(sintheta+cos theta)`

If x = cos t (3 – 2 cos² t) and y = sin t (3 – 2 sin² t), find the value of dx/dy at t =4/π.

Find the inverse of each of the matrices, if it exists. [`(1, -1),(2,3)`]

Find the inverse of each of the matrices, if it exists.` [(2,1),(1,1)]`

Find the inverse of each of the matrices, if it exists.

`[(1,3),(2,7)]`

Find the inverse of each of the matrices, if it exists. 

`[(2,3),(5,7)]`

Find the inverse of each of the matrices, if it exists.

`[(2,7),(1,4)]`

Find the inverse of each of the matrices, if it exists.

`[(2,5),(1,3)]`

Find the inverse of each of the matrices, if it exists.

`[(3,1),(5,2)]`

Find the inverse of each of the matrices, if it exists.

`[(4,5),(3,4)]`

Find the inverse of each of the matrices, if it exists.

[(3,10),(2,7)]

`Find the inverse of each of the matrices, if it exists.

`[(3,-1),(-4,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2, -6),(1, -2)]`

Find the inverse of each of the matrices, if it exists.

`[(6,-3),(-2,1)]`

Find the inverse of each of the matrices, if it exists.

`[(2,-3),(-1,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2,1),(4,2)]`

Find the inverse of each of the matrices, if it exists.

`[(2,-3,3),(2,2,3),(3,-2,2)]`

Find the inverse of each of the matrices, if it exists.

`[(1,3,-2),(-3,0,-5),(2,5,0)]`