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

The area of the region bounded by the y-axis, y = cosx and y = sinx, 0 ≤ x ≤ `pi/2` is ______.

If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.

The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is ______.

The area of the region bounded by the curve y = `sqrt(16 - x^2)` and x-axis is ______.

Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is ______.

`("cos" 8° -  "sin" 8°)/("cos" 8° +  "sin" 8°)`  is equal to ____________.

Area of the region bounded by the curve y = cosx between x = 0 and x = π is ______.

The area of the region bounded by parabola y² = x and the straight line 2y = x is ______.

`"sin"  265° -  "cos"  265°` is ____________.

The area of the region bounded by the curve y = sinx between the ordinates x = 0, x = `pi/2` and the x-axis is ______.

I₂ is the matrix ____________.

The area of the region bounded by the ellipse `x^2/25 + y^2/16` = 1 is ______.

The area of the region bounded by the circle x² + y² = 1 is ______.

The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is ______.

The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is ______.

Given that `"dy"/"dx"` = ye^x and x = 0, y = e. Find the value of y when x = 1.

Solve `x^2 "dy"/"dx" - xy = 1 + cos(y/x)`, x ≠ 0 and x = 1, y = `pi/2`

The integrating factor of the differential equation `"dy"/"dx" (x log x) + y` = 2logx is ______.

An appropriate substitution to solve the differential equation `"dx"/"dy" = (x^2 log(x/y) - x^2)/(xy log(x/y))` is ______.

Integrating factor of the differential equation `x "dy"/"dx" - y` = sinx is ______.