Home
Class 12
MATHS
A(x1, y1) and B(x2, y2) are any two poin...

`A(x_1, y_1) and B(x_2, y_2)` are any two points on the parabola `y=cx^2 + bx + a`. If `P(x_3, y_3)` be the point on the arc `AB` where the tangent is parallel to the chord `AB`, then (A) `x_2 `is the A.M. between `x_1 and x_3` (B) `x_2` is the G.M. between `x_1 and x_3` (C) `x_2` is the H.M. between `x_1 and x_3` (D) none of these

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

A(x_(1),y_(1)) and B(x_(2),y_(2)) are any two distinct points on the parabola y=ax^(2) +bx+c. if P(x_(3),y_(3)) be the point on the are AB where the tangent is parallel to the chord AB, then

Find a point on the curve y=x^3-3x where the tangent is parallel to the chord joining (1,-2)a n d(2,2)dot

Find a point on the curve y=x^3-3x where the tangent is parallel to the chord joining (1,\ -2) and (2,\ 2) .

Find a point on the parabola y=(x-3)^2 , where the tangent is parallel to the chord joining (3, 0) and (4, 1).

Find the A.M. between: (x+y)^(2) and (x-y)^(2)

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

Let A(x_(1),y_(1)) and B(x_(2),y_(2)) be two points on the parabola y^(2) = 4ax . If the circle with chord AB as a dimater touches the parabola, then |y_(1)-y_(2)| is equal to

The point at which the tangent to the curve y = 2 x^(2) - x + 1 is parallel to the line y = 3 x + 9 is

The angle between tangents to the parabola y^(2)=4x at the points where it intersects with the line x-y -1 =0 is

The points on the curve f(x)=(x)/(1-x^(2)) , where the tangent to it has slope equal to unity, are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) . Then, x_(1)+x_(2)+x_(3) is equal to