Column – I | Column – II |
A. In a triangle , let a, b and c be the lengths of the sides opposite to the angles X, Y and Z, respectively. If and , then possible values of n for which is (are) | P.1 |
B. In a triangle , let a,b and c be the lengths of the sides opposite to the angles X, Y and Z, respectively. If 1+cos2X-2cos2Y=2sinXsinY, then possible values (s) of is (are) | Q.2 |
C. In R2, let and be the position vectors of X,Y and Z with respect of the origin O, respectively. If the distance of Z from the bisector of the acute angle of with is , then possible value(s) of is (are) | R.3 |
D. Suppose the denotes the area of the region bounded by x=0, x=2, y2=4x and , where . Then the value(s) of , when and , is (are) | S.5 |
T.6 |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(P, Q), 
(P, Q), 
(P, Q, S, T), 
(Q, T)
(given)
for n = odd integer.
1 + cos2X – 2cos2Y = 2 sin X sin Y
sin 2 X + sin X sin Y – 2 sin 2 Y = 0
(sin X – sin Y)(sin X + 2sin Y) = 0
sin X = sin Y
Here, distance of Z from bisector of 
and 
When 
= 0
Area = 
When 
= 1
Area = 
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