Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

Explore topic-wise InterviewSolutions in .

The area of the region described by the curves `y^(2) = 2x` and y = 4x - 1 isA. `15/64 sq. units`B. `9/32 sq. units`C. `7/32 sq. units`D. `5/64 sq. units`

Find the area enclosed by the parabola `4y=3x^2` and the line`2y = 3x + 12`.A. 27 sq. unitsB. 18 sq. unitsC. 9 sq. unitsD. 3 sq. units

Find the areaof the region bounded by the parabola `"x"^2=4"y "`and the line `"x"=4"y"-2`A. `3/4 sq. units`B. `3/8 sq. units`C. `9/4 sq. units`D. `9/8 sq. units`

Find the area of the region bounded by the curve `(y-1)^2=4(x+1)` and the line y= x-1A. `2/3 sq. units`B. `4/3 sq. units`C. `64/3 sq. units`D. `16/3 sq. units`

Find by integration the area of the region bounded by the curve `y=2x-x^2` and the x-axis.A. `2/3 sq. units`B. `4/3 sq. units`C. `5/3 sq. units`D. `8/3 sq. units`

The area of the region bounded by the parabola `y^(2) = 16 (x - 2)` and the line y = 2 ( x - 1) and X-axis isA. `2/3 sq. units`B. `4/3 sq. units`C. `8/3 sq. units`D. `16/3 sq. units`

Find the area of the region bounded by `x^2=16 y , y=1, y=4`and the y-axis in the first quadrant.A. `112/3 sq. units`B. `56/3 sq. units`C. `28/3 sq. units`D. `14/3 sq. units`

Tangents are drawn to the ellipse `x^2/9+y^2/5 = 1` at the end of latus rectum. Find the area of quadrilateral so formedA. `27/2 sq. units`B. `27/4 sq. units`C. `27 sq. units`D. 18 sq. units

The area between parabolas `y^(2) = 7x and x^(2) = 7 y` isA. `7/3 sq. units`B. `7/9 sq. units`C. `49/3 sq. units`D. `49/9 sq. units `

Find the area of the region bounded by the two parabolas `y=x^2`and `y^2=x`.A. `16/3 sq. units`B. `8/3 sq. units`C. `1/3 sq. units`D. `4/3 sq. units`