Home
Class 11
MATHS
If the curves (x^(2))/(alpha)+(y^(2))/(4...

If the curves `(x^(2))/(alpha)+(y^(2))/(4)=1 and y^(3)=16x` intresect at right angles, then a value of `alpha` is

A

2

B

`4//3`

C

`1//2`

D

`3//4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If the curves y^2=6x,9x^2+by^2=16 , cut each other at right angles then the value of b is

If the number of common tangents to the pair of circles x^(2)+y^(2)-2x+4y-4=0 and x^(2)+y^(2)+4x-4y+alpha=0 is 4, then the least integral value of alpha is

The curves y=x^3, 6y=7-x^2 intersect at (1, 1) at an angle of

Show that the curves y^(2)=4a(x+a) and y^(2)=4b(b-x)(a gt ,b gt 0) intresect orthogonally.

If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^(2) = a^(2) when the axes are rotated through an angle alpha , then the original equation of the curve is

The condition that the chord a x cos alpha +y sin alpha -p=0" of "x^(2)+y^(2)-a^(2)=0 subtend a right angle at the centre of the circle is

If the roots of x^(4) - 6x^(3) +13x^2-12x + 4 = 0 are alpha, alpha , beta , beta then the value of alpha, beta are

Assertion (A): All chords of the curve 4x^(2)+y^(2)-x+4y=0 , which subtends right angle at the origin passes through the point ((1)/(5), -(4)/(5)) Reason (R ) : Chords of any curve, substending right angle at origin passes through a fixed point.