Home
Class 12
MATHS
Find the value of a if the curves (x^2)/...

Find the value of `a` if the curves `(x^2)/(a^2)+(y^2)/4=1a n dy^3=16 x` cut orthogonally.

A

1

B

`(2 sqrt3)/(3)`

C

`3 sqrt3`

D

`5 sqrt5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)|45 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Solved Examples ( NUMERICAL ANSWER TYPE QUESTIONS )|18 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Find the value of a if the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x cut orthogonally.

For what values of a will the curves (x^(2))/(a^(2))+(y^(2))/(4)=1 and y^(3)=16x intersect at right angles?

The number of values of a for which the curves 4x^(2)+a^(2)y^(2)=4a^(2) and y^(2)=16x are orthogonal is

The number of values of 'a' for which the curves y^(2)=3x^(2)+a and y^(2)=4x intersects orthogonally

Prove that the curve 2x^(2)+3y^(2)=1 and x^(2)-y^(2)=(1)/(12) intersect orthogonally.

Find the condition for the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and xy =c^(2) to interest orthogonally.

Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.

Find the area bounded by the curve 4y^(2)=9x and 3x^(2)=16y

If the curves y^(2)=4x and xy=a,a>0 cut orthogonally,then a is