Home
Class 11
MATHS
The condition for which the striaght lin...

The condition for which the striaght lines `l_(1)x+m_(1)y+n_(1)=0andl_(2)x+m_(2)y+n_(2)=0` are perpendicular to each other is -

A

`l_(1)l_(2)+m_(1)m_(2)=0`

B

`l_(1)m_(1)+l_(2)m_(2)=0`

C

`l_(1)m_(2)+l_(2)m_(1)=0`

D

`l_(1)l_(2)-m_(1)m_(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Very Short Answer Type Questions )|16 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2B (Short Answer Type Questions )|23 Videos

  • STRAIGHT LINE

    CHHAYA PUBLICATION|Exercise EXERCISE 2A (Long Answer Type Questions )|19 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

The straight line a_(1)x+b_(1)y+c_(1)=0 anda_(2)x+b_(2)y+c_(2)=0 are parallel to each other if -

The value of a for which the lines (x-5)/(5a+2)=(2-y)/(5)=(1-z)/(-1) and (x)/(1)=(2y+1)/(4a)=(1-z)/(-3) are perpendicular to each other is -

Slow that the lines (x-5)/(7)=(y+2)/(-5)=(z)/(1) and (x)/(1)=(y)/(2)=(z)/(3) are perpendicular to each other.

The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicular to a common line for

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

The straight lines 5x-9y-12=0andmx+10y=2 are perpendicular to each other , state which of the following is the value of m:

The lines x+y-1=0,(m-1)x+(m^(2)-7)y-5=0and(m-2)x+(2m-5)y=0 are -

Show that the area of the triangle formed by the straight lines y = m_(1) x + c_(1) , y = m_(2) x + c_(2) and x = 0 is (1)/(2)(c_(1)-c_(2))^(2)/(|m_(1)-m_(2)|) sq . Units .

The points P divides the line - segment joining the points A(x_(1),y_(1))andB(x_(2),y_(2)) in the ratio m : n . If P lies on the line ax+by +c=0 , prove that, (m)/(n)=-(ax_(1)+by_(1)+c)/(ax_(2)+by_(2)+c) .

If the lines (x-1)/(-3)=(y-2)/(2lamda)=(z-3)/(2)" and "(x-1)/(3lamda)=(y-1)/(1)=(z-6)/(-5) are perpendicular to each other, then find lamda