Home
Class 12
MATHS
If the x-intercept of some line L is dou...

If the x-intercept of some line L is double as that of the line, `3x + 4y = 12` and the y-intercept of L is half as that of the same line, then the slope of L is:-

A

`-3`

B

`-(3)/(2)`

C

`-(3)/(8)`

D

`-(3)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
D
`L:ax +by+c=0`
`x_("int")=-(c)/(a), y_("int")=-(c)/(b)`
`L_(1):3x+4y=12`
`X_("int")=4 and Y_("int")=3`
`-(c)/(a)=8, -(c)/(b)=(3)/(2)`
`a=-(c)/(8), b=-(2c)/(3)`
`-(cx)/(8)-(2cy)/(3)+c=0`
`(x)/(8)+(2y)/(3)-1=0`
`y=-(3x)/(16)+(3)/(2)`
`therefore" slope "=-(3)/(16)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of the line with slope 'm' and x - intercept a is

Identify the equation of the line with slope = - 4 and y-intercept = 2.

Find the equation of the line with slope 3 and y intercept -2 .

x-intercept of line 3x – 4y + 12 = 0 is –4.

If a line with y-intercept 2, is perpendicular to the line 3x -2y =6, then its x-intercept is

Find the Y- intercept of the line 2y=4x-3 .

Find the slope and the intercept on the y-axis of the line sqrt3x+3y=6 :

Find the intercepts made by the lines 3x + 4y - 12 = 0 on the axes:

Find the equation of a straight line: with slope 2 and y-intercept 3;