Home
Class 12
MATHS
If P -= ((1)/(x(p)), p ), Q = ((1)/(x(q...

If ` P -= ((1)/(x_(p)), p ), Q = ((1)/(x_(q)),q), R = ((1)/(x_(r)), r)`
where ` x _(k) ne 0 `, denotes the ` k^(th) ` terms of a H.P. for ` k in N `, then :

A

ar. `( Delta PQR)= (p^(2)q^(2)r^(2))/(2) sqrt((p-q)^(2) + (q-r)^(2) + (r-p)^(2))`

B

` Delta PQR` is a right angled triangle

C

the points P,Q, R are collinear

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|12 Videos

  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|4 Videos

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|11 Videos

  • TRIGONOMETRIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

If p(q-r)x^(2) + q(r-p)x+ r(p-q) = 0 has equal roots, then show that p, q, r are in H.P.

int (dx)/(x ^(2014)+x)=1/p ln ((x ^(q))/(1+ x ^(r)))+C where p,q r in N then the value of (p+q+r) equals (Where C is constant of integration)

. 1/(p+q),1/(q+r),1/(r+p) are in AP, then

If (1)/(p+q)=r and pne-q . What is p in terms of r and q?

in an AP , S_p=q , S_q=p and S_r denotes the sum of the first r terms. Then S_(p+q)=

The value of |[yz, z x,x y],[ p,2q,3r],[1, 1, 1]| , where x ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a. -1 b. 0 c. 1 d. none of these

If p^(th) term of an A.P. is q and its q^(th) term is p, show that its r^(th) term is (p + q - r)

Find p, where p,q belongs to R If p and q are the roots of equation x^2-px+q=0 then p=,

If 5^(-p)=4^(-q)=20^(r ) . Show that (1)/(p)+(1)/(q)+(1)/(r )=0

In an A.P. let T_(r) denote r ^(th) term from beginning, T_(p) = (1)/(q (p +q)), T_(q) =(1)/(p(p+q)), then :