Home
Class 11
MATHS
The two parabolas x^2= 4y and y^2=4x me...

The two parabolas `x^2= 4y` and `y^2=4x ` meet in two distinct points. One of these is origin and the other point is

A

(2,2)

B

(4,-4)

C

(4,4)

D

(-2,2)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the angle between the parabolas y^2=4a x and x^2=4b y at their point of intersection other than the origin.

The two parabolas y^(2)=4x" and "x^(2)=4 intersect at a point P, whose abscissas is not zero, such that

The parabola y^(2)=4x and x^(2)=32y intersect at a point P other than the origin . If the angle of intersection is theta then tan theta is equal to

A tangent to the hyperbola x^(2)/4 - y^(2)/1 = 1 meets ellipse x^(2) + 4y^(2) = 4 in two distinct points . Then the locus of midpoint of this chord is

If two parabolas y^(2)=4a(x-k) and x^(2)=4a(y-k) have only one common point P, then the coordinates of P are

Two circles c_1:x^2+y^2-4x-6y-3=0 and c_2:x^2+y^2+2x-14y+lamda meet at two distinct points then find the value of lamda .