Match the following: List I List II P Exact value of cos 40°(1-2 sin 10°)= 1 (1/4) Q Value of λ for which lines are concurrent x+y+1=0,3 x+2 λ y+4=0, x+y-3 λ=0 can be 2 (1/2) R Points ( k, 2-2 k),(-k+1,2 k) and (-4-k, 6-2 k) are collinear then sum of all possible real values of ' k ' is 3 (3/2) S Value of displaystyle∑k=3∞ sin k((π/6))= 4 -(1/2)

Question

Match the following: List I List II P Exact value of cos 40°(1-2 sin 10°)= 1 (1/4) Q Value of λ for which lines are concurrent x+y+1=0,3 x+2 λ y+4=0, x+y-3 λ=0 can be 2 (1/2) R Points ( k, 2-2 k),(-k+1,2 k) and (-4-k, 6-2 k) are collinear then sum of all possible real values of ' k ' is 3 (3/2) S Value of displaystyle∑k=3∞ sin k((π/6))= 4 -(1/2) (A) P= 3 ,Q= 2 ,R= 1 ,S= 4 (B) P=2 ,Q=3 ,R=4 ,S=1 (C) P= 2 ,Q=1 ,R=4 ,S= 3 (D) P= 1 ,Q=2 ,R=3 ,S= 4

Tardigrade Admin · Accepted Answer

Correct answer is (b) P=2 ,Q=3 ,R=4 ,S=1

List I		List II
P	Exact value of $cos 4 0^{\circ} (1 - 2 sin 1 0^{\circ}) =$	1	$\frac{1}{4}$
Q	Value of $λ$ for which lines are concurrent $x + y + 1 = 0, 3 x + 2 λ y + 4 = 0$ , $x + y - 3 λ = 0$ can be	2	$\frac{1}{2}$
R	Points ( $k, 2 - 2 k), (- k + 1, 2 k)$ and $(- 4 - k, 6 - 2 k)$ are collinear then sum of all possible real values of ' $k$ ' is	3	$\frac{3}{2}$
S	Value of $k = 3 \sum \infty sin^{k} (\frac{π}{6}) =$	4	$- \frac{1}{2}$