Home
Class 12
MATHS
The distance between the pair of paralle...

The distance between the pair of parallel lines `x^(2) + 4xy + 4y^(2) + 3x + 6y- 4 = 0` is

Text Solution

Verified by Experts

Given lines are
`(x+2y)^(2)+3(x+2y)-4=0`
`:. x+2y=(-3+-sqrt(9+16))/(2)=(-3+-5)/(2)=-4,1`
therefore , the lines are
`x+2y+4=0`
`x+2y-1=0`
Required distance `=(|4-(-1)|)/(sqrt(1+4))`
`=(5)/(sqrt(5))=sqrt(5)`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise 3.1|6 Videos

  • PAIR OF STRAIGHT LINES

    CENGAGE|Exercise Exercise 3.2|7 Videos

  • MONOTONOCITY AND NAXINA-MINIMA OF FUNCTIONS

    CENGAGE|Exercise Comprehension Type|6 Videos

  • PARABOLA

    CENGAGE|Exercise Question Bank|9 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the parallel lines 3x – 4y + 5 = 0 and 3x – 4y + 7 = 0

Find the distance between the parallel lines 3x-4y+5=0 and 6x-8y-15=0

Find the distance between the parallel planes x-2y-2z=3 and 2x-4y-4z=7 .

Distance between the parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

Find the distance between the parallel planes x +2y-2z +1= 0 and 2x + 4y - 4z+5=0.

Distance between the pair of lines represented by the equation x^(2)– 6xy +9y^(2)+ 3x - 9y -4 = 0 is