Home
Class 11
MATHS
The length of the perpendicular form the...

The length of the perpendicular form the point (b,a) to the line `x/a-y/b =1` is

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)-b^(2)+ab)/(sqrt(a^(2)+b^(2)))` units
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(a)|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10(b)|7 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

Consider the following statements : 1. For an equation of a line, x cos q + y sin q = p , in normal form, the length of the perpendicular from the point (a, b) to the line is |a cos q+b sin q+p| . 2. The length of the perpendicular from the point (a, b) to the line x/a+y/b=1 is |(a alpha+b beta-ab)/sqrt(a^(2)+b^(2))| . Which of the above statements is/are correct ?

Find the length of the perpendicular from the point (a,b) to the line (x)/(a)+(y)/(b)=1

If the length of the perpendicular from the point (1, 1) to the line ax-by+c=0 be , show that 1/c + 1/a - 1/b = c/(2ab)

If the length of the perpendicular from the point (1,1) to the line ax-by+c=0 be unity,show that (1)/(c)+(1)/(a)-(1)/(b)=(c)/(2ab)

If p is the length of the perpendicular from the origin to the line (x)/(a) + (y)/(b) = 1 , then which of the following is ture ?

The length of the perpendicular drawn from the point (5,4,-1) on the line (x-1)/(2)=(y)/(9)=(z)/(5)

The length of perpendicular from the origin on the line x/a + y/b = 1 is -

Find the length of perpendicular from the point (-1,-2) to the line x=2y-15 .

Show that the length of perpendicular from the point (7, 0) to the line 5x+12y-9=0is double the length of perpendicular to it from the point (2,1).