If a curve y^2=alphax and line 2x+y=k (k...

If a curve `y^2=alphax` and line `2x+y=k` (k<0), where line is a tangent to `x^2-y^2=3` and the curve then find the value of `alpha`

A

-24

B

24

C

-19

D

19

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If the area bounded by the curve y+x^(2)=8x and the line y=12 is K sq. units, then the vlaue of (3K)/(10) is

Show that the curves 2x=y^2 and 2x y=k cut at right angles, if k^2=8 .

Show that the curves 4x=y^2 and 4x y=k cut at right angles, if k^2=512 .

Show that the curves x=y^2 and x y=k cut at right angles, if 8k^2=1 .

If the area bounded by the curves x^(2)+y le 2 and y ge x is (k)/(2) sq. units, then 2k is equal to

Show that the curves 2x=y^(2) and 2xy=k cut at right angles,if k^(2)=8.

if two curves C_(1):x=y^(2) and C_(2):xy=k cut at right angles,then value of k is :

If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)/(2) sq. units, then the value of 2k is equal to

Prove that the curves x=y^(2) and xy=k intersect at right angles if 8k^(2)=1

Show that the curves x=y^(2) and xy=k cut at right angles; if 8k^(2)=1