Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

1. Find the area of the region bounded by the curve y²= x and the lines x = 1, x = 4 and the x-axis in the first quadrant.

953 Views

Find the area of the region bounded by y² = 4 x, x = 1, x = 4 and the x-axis in the first quadrant.

821 Views

3. Find the area of the region bounded by y² = 9x, x = 2, x = 4 and the x-axis in the first quadrant.

752 Views

Find the area of the region bounded by y² = x - 2, x = 4, x = 6 and the x-axis in the first quadrant.

610 Views

5. Find the area under the given curves and given lines:
(i) y = x², x = 1, x = 2 and x-axis
(ii) y - x^4, x = 1, x = 5 and x -axis

422 Views

Find the area of the region bounded by x² = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.

275 Views

Name: Zigya - For The Curious Learner
Rating: 4.4 (740 reviews)

The equation of parabola is

straight y space equals space 4 space straight x squared space space space or space space straight x squared space equals space 1 fourth straight y comma space space

which is upward parabola. The shape of

straight x squared space equals space 1 fourth straight y comma space space straight x space greater or equal than 0 space

is shown in the figure.

Required area ABCD =

integral subscript 1 superscript 4 straight x space dy space equals space 1 half integral subscript 1 superscript 4 square root of straight y space dy

equals space 1 half open square brackets fraction numerator straight y to the power of begin display style 3 over 2 end style end exponent over denominator begin display style 3 over 2 end style end fraction close square brackets subscript 1 superscript 4 space equals space 1 third open square brackets straight y to the power of 3 over 2 end exponent close square brackets subscript 1 superscript 4 space equals space 1 third open square brackets left parenthesis 4 right parenthesis to the power of 3 over 2 end exponent minus left parenthesis 1 right parenthesis to the power of 3 over 2 end exponent close square brackets equals space 1 third left square bracket space 8 space minus space 1 right square bracket space equals space space 7 over 3 space sq. space units.

164 Views

8. Find the area of the region lying in the first quadrant and bounded by x² = y - 3, y = 4, y = 6 and the y-axis in the first quadrant.

333 Views

Find the area of the region bounded by x² = 16 y, y = 1, y = 4 and the y-axis in the first quadrant.

317 Views

10. Find the area bounded by the curve y² = 4 a (x-1) and the lines x = 1 and y = 4 a.

315 Views