Home
Class 11
MATHS
Normals at two points (x1y1)a n d(x2, y2...

Normals at two points `(x_1y_1)a n d(x_2, y_2)` of the parabola `y^2=4x` meet again on the parabola, where `x_1+x_2=4.` Then `|y_1+y_2|` is equal to `sqrt(2)` (b) `2sqrt(2)` (c) `4sqrt(2)` (d) none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

Normals at two points (x_1,x_2) and (x_2,y_2) of the parabola y^2=4x meet again on the parabola, where x_1+x_2=4 , then |y_1+y_2| is equal to

Normals at two points (x_(1) ,y_(1)) and (x_(2), y_(2)) of the parabola y^(2)=4x meet again on the parabola where x_(1)+x_(2)=4 .Then sqrt(2)|y_(1)+y_(2)| =

If the normals at two points (x_(1),y_(1)) and (x_(2),y_(2)) of the parabola y^(2)=4x meets again on the parabola, where x_(1)+x_(2)=8 then |y_(1)-y_(2)| is equal to

If normals at points (a,y_(1)) and (4-a, y_(2)) to the parabola y^(2)=4x meet again on the parabola , then |y_(1)+y_(2)| is equal to (sqrt2=1.41)

If the normals at the points (x_(1),y_(1)),(x_(2),y_(2)) on the parabola y^(2)=4ax intersect on the parabola then

Prove that the normals at the points (1,2) and (4,4) of the parabola y^(2)=4x intersect on the parabola

If y=2x+3 is a tangent to the parabola y^(2)=24x, then is distance from the parallel normal is 5sqrt(5)(b)10sqrt(5)(c)15sqrt(5)(d) None of these

The shortest distance between the parabolas 2y^(2)=2x-1 and 2x^(2)=2y-1 is 2sqrt(2) (b) (1)/(2)sqrt(2)(c)4(d)sqrt((36)/(5))

The circle x^(2)+y^(2)=5 meets the parabola y^(2)=4x at P and Q. Then the length PQ is equal to (A)2(B)2sqrt(2)(C)4(D) none of these

The area {(x,y);x^(2)<=y<=sqrt(x)} is equal to (1)/(3) b.(2)/(3) c.(1)/(6) d.none of these