From any point P on the line x = 2y perp...

From any point P on the line x = 2y perpendicular is drawn on y = x. Let foot of perpendicular is Q. Find the locus of mid point of PQ.

5x - 7y = 0

2x - 3y = 0

3x - 2y = 0

7x - 5y = 0

Text Solution

Verified by Experts

The correct Answer is:

`A`

Topper's Solved these Questions

JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
JEE MAIN
JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
JEE MAIN 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendicular PR and PS are drawn on the axes. Locus of mid-point of RS is

The tangent at any point P on y^(2)=4x meets x-axis at Q, then locus of mid point of PQ will be

P and Q are two variable points on the axes of x and y respectively such that |OP| + |OQ|=a, then the locus of foot of perpendicular from origin on PQ is

Q is any point on the circle x^(2) +y^(2) = 9. QN is perpendicular from Q to the x-axis. Locus of the point of trisection of QN is

From the point P(3,-1,11) a perpendicular is drawn on the line L given by the equation x/2=(y-2)/3=(z-3)/4 . Let Q be the foot of the perpendicular What is the length of the line segment PQ?

Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :

A point P on the parabola y^2=12x . A foot of perpendicular from point P is drawn to the axis of parabola is point N. A line passing through mid-point of PN is drawn parallel to the axis interescts the parabola at point Q. The y intercept of the line NQ is 4. Then-

Find coordinates of the foot of perpendicular, image and equation of perpendicular drawn from the point (2,3) to the line y=3x-4

Let P be a point on the line y=3x and Q lies on 2y+x=2 and the mid-point of PQ is (2,3). Find the distance PQ

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS

Let alpha and beta are the roots of x^2 – x – 1 = 0 such that Pk = alp...
Text Solution
|
Let A = [a(ij)], B=[b(ij)] are two 3 × 3 matrices such that b(ij) = la...
Text Solution
|
From any point P on the line x = 2y perpendicular is drawn on y = x. L...
Text Solution
|
Let a(1), a(2), a(3), … be a G. P. such that a(1)lt0, a(1)+a(2)=4 and ...
Text Solution
|
if y sqrt(1-x^2) = k - x sqrt(1-y^2) and y(1/2) = -1/4, then (dy)/(dx...
Text Solution
|
Coefficient of x^7 in (1 + x)^10 + x(1 + x)^9 + x^2 (1 + x)^8+………..+x^...
Text Solution
|
If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...
Text Solution
|
If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + l...
Text Solution
|
If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y...
Text Solution
|
Let X = {x : 1 le x le 50, x in N} A = {x: x is multiple of 2} B = {...
Text Solution
|
If F(x) is defined in x in (-1/3,1/3) f(x) = {((1/x)loge((1+3x)/(1-2...
Text Solution
|
Let ABC is a triangle whose vertices are A(1, –1), B(0, 2), C(x', y') ...
Text Solution
|
Let P(A) = 1/3 , P(B) = 1/6 where A and B are independent events then
Text Solution
|
Let f(x) = {(sin (tan^(-1) x) + sin (cot^(-1) x)}^2 - 1, where |x| gt ...
Text Solution
|
f(x) = (8^(2x) - 8^(-2x))/(8^(2x) + 8^(-2x) find the inverse of the fu...
Text Solution
|
The system of equation 3x + 4y + 5z = mu x + 2y + 3z = 1 4x + 4y...
Text Solution
|
If y^2 = ax and x^2 = ay intersect at A & B. Area bounded by both curv...
Text Solution
|
Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and...
Text Solution
|
Consider a function f(x) = ln (x^2 + alpha)/7x . If for the given func...
Text Solution
|
Let f(x) = x cos^(-1)(sin-|x|), x in (-pi/2,pi/2)
Text Solution
|