Home
Class 12
MATHS
Let a, b,c are respectively the sines an...

Let a, b,c are respectively the sines and p, q, r are respectively the consines of `alpha, alpha+(2pi)/(3) and alpha+(4pi)/(3)`, then :
Q. The value of `(ab+bc+ca)` is :

A

0

B

`-(3)/(4)`

C

`-(1)/(2)`

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos
  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos
  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|26 Videos
  • COMPLEX NUMBERS

    VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos
  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

Similar Questions

Explore conceptually related problems

Let a, b,c are respectively the sines and p, q, r are respectively the consines of alpha, alpha+(2pi)/(3) and alpha+(4pi)/(3) , then : Q. The value of (a+b+c) is :

Let a, b,c are respectively the sines and p, q, r are respectively the consines of alpha, alpha+(2pi)/(3) and alpha+(4pi)/(3) , then : Q. The value of (qc-rb) is :

If a = b cos "" ( 2 pi)/ (3) = c cos "" (4 pi)/( 3) , then write the value of ab + bc + ca

Show that 4 sin alpha.sin (alpha + pi/3) sin (alpha + 2pi/3) = sin 3alpha

Verify : "cosec "alpha=1+cot^(2)alpha" if "alpha=(pi)/(3) .

If 2 sin 2alpha= | tan beta+ cot beta |alpha,beta, in((pi)/(2),pi) , then the value of alpha+beta is

If the roots of the equation px ^(2) +qx + r=0, where 2p , q, 2r are in G.P, are of the form alpha ^(2), 4 alpha-4. Then the value of 2p + 4q+7r is :

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.

If 0 lt alpha lt (pi)/(3) , then prove that alpha (sec alpha) lt (2pi)/(3).

If (3pi)/2 < alpha < 2pi then the modulus argument of (1+cos 2alpha)+i sin2alpha