If - m C 2- Then - C 2 is equal to -A- m-1 C4B- m-1 C4C- 3 -m-2 C4D- 3 -m-1 C4

The correct option is D α=^m C_2 ⇒α=m(m 1) 2 Substitute the value of alpha ∴^αC_2=^m(m 1) 2C_2=1 2.m(m 1) 2{m(m 1)/2 1} =1 8m(m 1)(m 2)(m+1) From the options ...

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Byju's Answer

Standard XI

Mathematics

Properties of nth Root of a Complex Number

If α= m C 2, ...

Question

If $α =^{m} C_{2}$ , Then $^{α} C_{2}$ is equal to ..........

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Solution

The correct option is D

$α =^{m} C_{2} \Rightarrow α = \frac{m (m - 1)}{2}$
Substitute the value of alpha
$∴^{α} C_{2} =^{\frac{m (m - 1)}{2}} C_{2} = \frac{1}{2} . \frac{m (m - 1)}{2} {\frac{m (m - 1)}{2} - 1}$
= $\frac{1}{8} m (m - 1) (m - 2) (m + 1)$
From the options we see option D, i.e., $(3.^{m + 1} C_{4})$ have the same value as $^{α} C_{2}$ .
= $\frac{1}{8} (m + 1) m (m - 1) (m - 1) = 3.^{m + 1} C_{4}$

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Similar questions

Q. If

α =^{m} C_{2}

, then

^{α} C_{2}

is equal to

\frac{^{α} C_{2}}{^{α + 1} C_{4}}

Q. If

n =^{m} C_{2}

, then the value of

^{n} C_{2}

If $α =^{m} C_{2},$ then find the value of $^{α} C_{2}$ .

$I f a c o s^{3} α + 3 a c o s α s i n^{2} α = m a n d a s i n^{3} α + 3 a c o s^{2} α s i n α = n, t h e n (m + n)^{\frac{2}{3}} + (m - n)^{\frac{2}{3}} i s e q u a l t o$

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If α=mC2, Then αC2 is equal to ..........

The correct option is D α=mC2⇒α=m(m−1)2 Substitute the value of alpha ∴αC2=m(m−1)2C2=12.m(m−1)2{m(m−1)2−1} =18m(m−1)(m−2)(m+1) From the options we see option D, i.e., (3.m+1C4) have the same value as αC2. =18(m+1)m(m−1)(m−1)=3.m+1C4

If $α =^{m} C_{2}$ , Then $^{α} C_{2}$ is equal to ..........