Home
Class 12
MATHS
In a Delta ABC, if p,q,r are the distanc...

In a `Delta ABC`, if p,q,r are the distances from the orthocentre to the vertices A,B,C respectively, then a q r + b r p+ c p q =

A

p q r

B

a b c

C

3r

D

3(p+q+r)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|177 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|111 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -D|14 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC , the distance of orthocentre ( O ) from the vertices A, B , C are x,y,z respectively show that x+ y+ z = 2 ( r + R )

In Delta ABC, if r_1,r_2,r_3 are in H.P., then a,b,c are in

In Delta ABC , " if" r_1,r_2,r_3 are in H.P. then a,b,c are in

In Delta ABC , if a,b,c are in A.P, then r_1,r_2,r_3 are in

If p_1,p_2,p_3 are the altitudes of a triangle ABC from the vertices A,B,C respectively , then with the usual notation, 1/(r_1^2)+1/(r_2^2)+1/(r_3^2)+1/(r^2)=

If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) + c(p - q) =

If p_1,p_2,p_3 are the lengths of the altitudes from the vertices A,B,C of Delta ABC to the opposite sides respectively then prove that p_1p_2p_3= ( (abc)^(2))/( 8R^(3)) = ( 8 Delta ^(3))/( abc)