Column-I Column-II(a)If the lines x−21=y−31=z−4λand(p)0 x−1λ=y−42=z−51 intersect at (α,β,γ) then λ equals (b)If limx→∞(π4−tan−1(x+1x+2))=y2+4y+5 then y equals(q)−1(c)If chord x+y+1=0 of parabola y2=ax(r)−4 Subtends 90∘ at (0,0) than a equals (d)If →a=^i+^j+^k,→a.→b=1 and →a×→b=^j−^k then|→b| is equal to(s)1

Column-I Column-II(a)If the lines x−21=y−31=z−4λand(p)0 x−1�

1.	Column-I Column-II(a)If the lines x−21=y−31=z−4λand(p)0 x−1λ=y−42=z−51 intersect at (α,β,γ) then λ equals (b)If limx→∞(π4−tan−1(x+1x+2))=y2+4y+5 then y equals(q)−1(c)If chord x+y+1=0 of parabola y2=ax(r)−4 Subtends 90∘ at (0,0) than a equals (d)If →a=^i+^j+^k,→a.→b=1 and →a×→b=^j−^k then\|→b\| is equal to(s)1
Answer» $\begin{matrix} Column-I & Column-II (a) & If the lines \frac{x - 2}{1} = \frac{y - 3}{1} = \frac{z - 4}{λ} a n d & (p) & 0 \frac{x - 1}{λ} = \frac{y - 4}{2} = \frac{z - 5}{1} intersect at (α, β, γ) then λ equals (b) & If lim x \to \infty (\frac{π}{4} - {tan}^{- 1} (\frac{x + 1}{x + 2})) = y^{2} + 4 y + 5 then y equals & (q) & - 1 (c) & If chord x + y + 1 = 0 of parabola y^{2} = a x & (r) & - 4 Subtends 90^{\circ} at (0,0) than a equals (d) & If \to a =^i +^j +^k, \to a . \to b = 1 and \to a \times \to b =^j -^k then \| \to b \| is equal to & (s) & 1 \end{matrix}$