If line x-2y-1=0 intersects parabola y^(...

If line x-2y-1=0 intersects parabola `y^(2)=4x` at P and Q, then find the point of intersection of normals at P and Q.

Topper's Solved these Questions

INVERSE TRIGONOMETRIC FUNCTIONS
RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
MATRICES
RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The line 4x -7y + 10 = 0 intersects the parabola y^(2) =4x at the points P and Q. The coordinates of the point of intersection of the tangents drawn at the points P and Q are

The straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 in points P and Q the coordinates of the point of intersection of tangents drawn at P and Q to the circle is

If 3x+4y=12 intersect the ellipse x^2/25+y^2/16=1 at P and Q , then point of intersection of tangents at P and Q.

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

If the distances of two points P and Q from the focus of a parabola y^2=4x are 4 and 9,respectively, then the distance of the point of intersection of tangents at P and Q from the focus is

The ordinates of points P and Q on the parabola y^2=12x are in the ration 1:2 . Find the locus of the point of intersection of the normals to the parabola at P and Q.

The straight line x-2y+5=0 intersects the circle x^(2)+y^(2)=25 in points P and Q, the coordinates of the point of the intersection of tangents drawn at P and Q to the circle is

Let the ordinates of points P and Q on the parabola y^2 = 12x be in the ratio 1:3 and (alpha, beta) be the point of intersection of normals to parabola at P and Q , then (12^2(alpha-6)^3/(beta^2)=

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions

A relation R is defined on the set of circles such that "C(1)RC(2)impl...
Text Solution
|
The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is :
Text Solution
|
If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find th...
Text Solution
|
If tan B=(n sin A cos A)/(1-n cos^(2)A), then tan(A+B) equals to
Text Solution
|
int(-1)^(1)(e^(-1//x))/(x^(2)(1+e^(-2//x))dx is equal to
Text Solution
|
Construct the truth table for the followings statements : (a) (p^^q)...
Text Solution
|
Given lines (x-4)/(2)=(y+5)/(4)=(z-1)/(-3) and (x-2)/(1)=(y+1)/(3)=(z)...
Text Solution
|
.Let a1, a2, a3... be in AP and g1, g2... be in GP If a1, g1=2 and a...
Text Solution
|
If f(x)={ax^3+b, for 0 le x le 1 and 2cospix+tan^-1x, for 1 < x le 2 b...
Text Solution
|
The straight line (x)/(4)+(y)/(3) =1 intersects the ellipse (x^(2))/(1...
Text Solution
|
The area bounded by the curve y=|cos^(-1)(sinx)|-|sin^(-1)(cosx)| and ...
Text Solution
|
A tangent to the ellipse x^(2)+4y^(2)=4 meets the ellipse x^(2)+2y^(2)...
Text Solution
|
If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...
Text Solution
|
If |a|lt|b|,b-alt1 and a,b are the real roots of the equation x^2-|a...
Text Solution
|
(lim)(x->0)(1-cos^n(1-cosx)/(tan^m x))=1. Then (n - m) is :
Text Solution
|
Let vertices of an acute-angled triangle are A(z1),B(z2),a n dC(z3)dot...
Text Solution
|
If the area by y=x^2+2x-3 and the line y=k x+1 is the least, find k an...
Text Solution
|
Let z1, z2........ zn be equi-modular non-zero complex numbers such th...
Text Solution
|
If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...
Text Solution
|
If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...
Text Solution
|