Home
Class 11
MATHS
If three points (h, 0), (a, b) and (o, k...

If three points (h, 0), (a, b) and (o, k) lie on a line, show that `a/h+b/k=1`.

Text Solution

Verified by Experts

Since the lines A(h,0),B(a,b) and C(0,k) lie on the same line.
Slope of AB=Slope of BC
`(b-0) div ( a-h)` =`(k-b) div (0-a)`
It gives, hk=ak+hb
...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.2|20 Videos

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.5|2 Videos

  • STRAIGHT LINES

    NCERT|Exercise MISCELLANEOUS EXERCISE|24 Videos

  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 Videos

Similar Questions

Explore conceptually related problems

If three points (h, 0), (a, b) and (0, k) lies on a line, show that (a)/(h) + (b)/(k) = 1 .

If three points (h,0),(a,b)and(0,k)lie on a line, show that a/h+b/k=1

If three points A(h,0),P(a,b) and B(0,k) lie on a line,show that: (a)/(h)+(b)/(k)=1

If (h,0),(a,b) and (0,k) lie on a line,show that (a)/(h)+(b)/(k)=1

If the points P(h,k),Q(x_(1),y_(1)) and R(x_(2),y_(2)) lie on a line.Show that: (h-x_(1))(y_(2)-y_(1))=(k-y_(1))(x_(2)-x_(1))

Three points P(h,k),Q(x_(1),y_(1)) and R(x_(2),y_(2)) lie on a line.Show that quad (h-x_(1))(y_(2)-y_(1))=(k-y_(1))(x_(2)-x_(1))

Show that the points (3, 3), (h, 0) and (0,k) are collinear if 1/h + 1/k = 1/3

If the mid point between the points (a+b, a-b) and (-a, b) lies on the line ax+by=k , what is k equal to ?

Suppose that the points (h,k) , (1,2) and (-3,4) lie on the line L_(1) . If a line L_(2) passing through the points (h,k) and (4,3) is perpendicular to L_(1) , then k//h equals