Home
Class 12
MATHS
A man starts from the point P(-3, 4) and...

A man starts from the point `P(-3, 4)` and will reach the point `Q(0, 1) touching the line `2x+y=7` at `R`. Find `R` on the line so that he will travel the shortest distance.

Text Solution

Verified by Experts

The correct Answer is:
`(42/25,91/25)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A man starts from the point P(-3, 4) and will reach the point Q(0, 1) touching the line 2x + y = 7 at R. The coordinates R on the line so that he will travel in the shortest distance is

A man strats from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that PR+RQ is minimum. Then |alpha|= .

Find the reflection of the point Q(2,1) in the line y + 3 = 0

A man starts from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that P R+R Q is minimum. Then 5|alpha|= _________

A man starts from the point P(-3,4) and reaches the point Q(0,1) touching the x-axis at R(alpha,0) such that P R+R Q is minimum. Then 5|alpha| (A) 3 (B) 5 (C) 4 (D) 2

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the distance of the point (4,5) from the line 3x-5y+7=0.

The distance of the point (1,2) from the line 2x-3y-4=0 in the direction of the line x+y=1 , is

Consider the points P(2,-4);Q(4,-2) and R(7,1). The points P,Q,R

distance of the lines 2x-3y-4=0 from the point (1, 1) measured paralel to the line x+y=1 is