Match the following Veginarray - hline -Column-I- -Column-IINhhlinesin theta- 1 - 3 - coslthetall18sin-theta- 1end array A- a-p- b-q- c-s- d-rB- a-q- b-p- c-r- d-sC- a-r- b-s- c-p- d-qD- a-s- b-r- c-q- d-p

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Byju's Answer

Standard XII

Mathematics

Definition of Ellipse

Match the fol...

Question

Match the following
$\begin{matrix} C o l u m n - I & C o l u m n - I I (a) & I f | z - 2 i | = a, θ = m a x A r g (z) - m i n A r g (z), 0 < θ \leq \frac{π}{3} t h e n & (p) & [0, 10] (b) & I f θ ϵ (0, \frac{π}{2}), t h e r a n g e O f ∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 c o s θ & 1 s i n θ & 1 & 3 c o s θ 1 & s i n θ & 1 \end{matrix} ∣ ∣ ∣ ∣ i s & (q) & (0, 1] (c) & I f x^{6} + {\frac{1}{x}}^{6} = 2 s i n θ a n d x i s p o s i t i v e, t h e n t h e r a n g e o f & (r) & {2} (d) & L e t f : R \to [0, \frac{π}{2}) d e f i n e d b y f (x) = t a n^{- 1} (x^{2} + x + λ) t h e n & (s) & {\frac{1}{4}} \end{matrix}$

a-q; b-p; c-r; d-s

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a-p; b-q; c-s; d-r

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a-r; b-s; c-p; d-q

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a-s; b-r; c-q; d-p

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Solution

The correct option is A a-q; b-p; c-r; d-s
(a) The radius of the circle a must lie between 0 and 1
(b) Expand
(c) A.M $\geq$ G.M.
(d) f is onto, $x^{2} + x + λ \leq 0 \Rightarrow λ \leq \frac{1}{4}, λ = \frac{1}{4}$

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The correct option is A a-q; b-p; c-r; d-s(a) The radius of the circle a must lie between 0 and 1 (b) Expand (c) A.M ≥ G.M. (d) f is onto, x2+x+λ≤0⇒λ≤14,λ=14

The correct option is A a-q; b-p; c-r; d-s
(a) The radius of the circle a must lie between 0 and 1
(b) Expand
(c) A.M $\geq$ G.M.
(d) f is onto, $x^{2} + x + λ \leq 0 \Rightarrow λ \leq \frac{1}{4}, λ = \frac{1}{4}$