Home
Class 12
MATHS
Show that the perpendiculars let fall fr...

Show that the perpendiculars let fall from any point of the straight line 2x+11y=5 upon the two straight lines 24x+7y=20 and 4x−3y=2 are equal to each other.

Text Solution

Verified by Experts

The correct Answer is:
`(ay^3+by^2x+cyx^2+dx^3)=k^3 sqrt({(a-b)^2+(b-d)^2})`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

Calculate the length of the perpendicular from (5, 1) to the straight line 5 x + 12 y − 9 = 0.

Three straight lines 2x+11y-5=0, 24x+7y-20=0 and 4x-3y-2=0

The straight lines x+y=0, 3x+y=4 and x+3y=4 form a triangle which is

The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

Find the equation of the straight line which is parallel to the line 2x+3y-5=0 and has y-intercept equal to -4.

Find the point of intersection of the straight lines : x= 0, 2x-y +3 =0.

What are the points on X-axis whose perpendicular distance from the straight line x/a+y/b=1.

Equation of the straight line which belongs to the system of straight lines a(2x+y-3)+b(3x+2y-5)=0 and is farthest from the pint (4,-3) is

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

Find the point of intersection of the straight lines : 2x + 3y-6 = 0, 3x - 2y-6= 0 .