Home
Class 12
MATHS
If (x (1) , y (1)) and (x (2) y (2)) are...

If `(x _(1) , y _(1)) and (x _(2) y _(2))` are the ends of a focal chord of `y ^(2) = 4 ax, then x _(1) x _(2) + y_(1) y _(2) ` is equal to :

A

`- 3a ^(2)`

B

`3a ^(2)`

C

`- 4a ^(2)`

D

`4a ^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If y = 2 ^(x) . 3 ^(2x-1) , then (d ^(2) y )/( dx ^(2)) is equal to :

If the ends of a focal chord of the parabola y^(2)=8x are (x_(1),y_(1)) and (x_(2),y_(2)) , then x_(1)x_(2)+y_(1)y_(2) is equal to a)12 b)20 c)0 d)-12

The locus of the middle point of the chord of the circle x ^(2) + y ^(2) = a ^(2) such that the chords passes through a given point (x _(1) , y _(1)), is : a) x ^(2) + y ^(2) - x x _(1) - y y _(1) =0 b) x ^(2) + y ^(2) = x _(1) ^(2) + y _(1) ^(2) c) x + y = x _(2) + y _(1) d) x + y = x _(1) ^(2) + y _(1) ^(2)

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

If x_(1) , x _(2), x _(3) as well as y _(1), y _(2) , y _(3) are in GP with the same common ratio, then the point (x _(1) , y _(1)) , (x _(2) , y _(2)) and (x_(3) , y _(3)):

If the points A(3, 4), B(x_(1), y_(1))andC(x_(2), y_(2)) are such tha t both 3,x_(1),x_(2)and4,y_(1),y_(2) are in AP, then

If y = log ( 1 + sin x) , prove that y_(4) + y_(3) y_(1) + y_(2)^(2) = 0