Home
Class 12
MATHS
IfM(xo,yo) is the point on the curve 3x^...

If`M(x_o,y_o)` is the point on the curve `3x^2-4y^2=72` which is nearest to the line `3x+2y+1=0`, then the value of `(x_o + y_o)` is equal to (A) 3 (B) `-3` (C) 9 (D) `-9`

Text Solution

Verified by Experts

`3x^2-4y^2=72`
`m=-3/2`
`6x-8y(dy)/(dx)=0`
`(dy)/(dx)=(3x)/(4y)`
`(3x_0)/(4y_0)=-3/2`
`x_o=-2y_o`
`8y_o^2=72`
`y=pm3`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0

Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 .

Find the points on the curve 3x^(2)-4y^(2)=72 which is nearest t the line 3x+2y+1=0.

If M(x_(0), y_(0)) is the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the line 3x+2y+1=0 then the value of (x_(0)+y_(0)) is equal to

The point on the hyperbola 3x^(2) - 4y^(2) = 72 which is nearest to the line 3x + 2y + 1 = 0 is

[" 24.If "M(x_(0),y_(0))" is the point on the curve "3x^(2)-4y^(2)=72" ,whic "],[" is nearest to the line "3x+2y+1=0" ,then the value "o],[[x_(0)+y_(0)" ) is equal to "," (2) "-3," (3) "9," (4) "-9],[" (1) "3," (3) "]]