If 2-2 C 2- a 2- a C 4- then a is-A- 4B- 1C- -2D- 3

The correct option is D 3We know that if nbsp; nbsp;^nC_p=^nC_q then p+q=n ∴ 6=a^2 a ⇒ a^2 a 6=0 (a 3)(a+2)=0 a=3, 2 nbsp; As we can take only positive ...

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Standard XII

Mathematics

Definition of Functions

If 2-2 C 2= a...

Question

If $^{a^{2} - a} C_{2} =^{a^{2} - a} C_{4}$ , then $a$ is:

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Solution

The correct option is D $3$
We know that if $^{n} C_{p} =^{n} C_{q}$ then $p + q = n$
$∴ 6 = a^{2} - a \Rightarrow a^{2} - a - 6 = 0 (a - 3) (a + 2) = 0 a = 3, - 2$
As we can take only positive value so $a = 3$

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If a2−aC2=a2−aC4 , then a is:

The correct option is D 3We know that if nCp=nCq then p+q=n ∴6=a2−a⇒a2−a−6=0(a−3)(a+2)=0a=3,−2 As we can take only positive value so a=3

If $^{a^{2} - a} C_{2} =^{a^{2} - a} C_{4}$ , then $a$ is:

The correct option is D $3$
We know that if $^{n} C_{p} =^{n} C_{q}$ then $p + q = n$
$∴ 6 = a^{2} - a \Rightarrow a^{2} - a - 6 = 0 (a - 3) (a + 2) = 0 a = 3, - 2$
As we can take only positive value so $a = 3$