Home
Class 11
MATHS
The equation of a line through the point...

The equation of a line through the point (1, 2) whose distance from the point `(3,1)` has the greatest value is (a)`y=2x` (b) `y=x+1` (c)`x+2y=5` (d) `y=3x-1`

A

y=2x

B

y=x+1

C

x+2y=5

D

y=3x-1

Text Solution

Verified by Experts


Obviously, the line through Q is at the greatest distance from point P when it is perpendicular to PQ. Now, the slope of line PQ is `m_(PQ) = -1//2`. Then the slope of perpendicular line passing through Q is
y-2 = 2(x-1)
or 2x-y=0
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z=5,3x+y+z=6

Find the equations of the lines through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 whose distance from the point (3,2) is (7)/(5)

Find the equation of the line through point (1,2,3) and parallel to line x-y+2z5,3x+y+z=6 .

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

The equation of the curve through the point (3,2) and whose slope is (x^(2))/(y+1), is (A)1(B)2 (C) 3(D)4

What are the points on y-axis whose distance from the line (x)/(3)+(y)/(4)=1 is 2 units

The equation of the locus of points which are equidistant from the points (2,-3) and (3,-2) is (A) x+y=0 (B) x+y=7 (C) 4x+4y=38 (D) x+y=1

The equation of the straight line through the point of intersection of lines x-3y+1=0 and 2x+5y-9=0 and whose distance from the origin is 5

Equation of the line through the point of intersection of the lines 3x+2y+4=0 and 2x+5y-1=0 whose distance from (2,-1) is 2 .