Question

show that the tangents to the parabola y^2= 4 x and x^2= 4y at point (2 ,1) and (-2,1) respectively are the right angles​

Answer 1

Explanation:

sorry me aapki help nahi ker sakti

Answer 2

Answer:

YES,THEY ARE AT RIGHT ANGLES.

Explanation:

first of all question must be :-show that the tangents to the parabola y^2= 4 x and x^2= 4y at point (1,2) and (-2,1) respectively are the right angles​

Given Equation of 1st parabola is y^2=4x

comparing it with y^2=4ax ,we get

a=1

equation of tangent to the parabola y^2=4x is

y=mx+(a/m)

or,y=mx+(1/m)----eqn(1)

if tangent passes through (1,2) then

2=m*1+(1/m)

or,(m-1)^2=0

or,m1=1

Again,Equation of second parabola is x^2=4y

so,a=1

equation of tangent to the parabola x^2=4y is

x=my+(1/m)

or,-2=m+(1/m)

or,(m+1)^2=0

0r,m2=-1

As,m1*m2= -1

So,They are at right angles