If 3^{2 sin 2 alpha-1},14 and 3^{4-2 sin 2 al | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Given that

$3^{4-\sin 2 \alpha}+3^{2 \sin 2 \alpha-1}=28$

Let $3^{2} \sin 2 \alpha=t$

$\frac{81}{t}+\frac{t}{3}=28$

$t=81,3$

$3^{2 \sin

Vedclass · Accepted Answer

$66$

Vedclass · Answer

Given that

$3^{4-\sin 2 \alpha}+3^{2 \sin 2 \alpha-1}=28$

Let $3^{2} \sin 2 \alpha=t$

$\frac{81}{t}+\frac{t}{3}=28$

$t=81,3$

$3^{2 \sin 2 \alpha}=3^{1}, 3^{4}$

$2 \sin 2 \alpha=1,4$

$\sin 2 \alpha=\frac{1}{2}, 2($ rejected $)$

First term $a=3^{2} \sin 2 \alpha-1$

$a=1$

Second term $=14$

$	herefore$ common difference $d=13$

$T_{6}=a+5 d$

$T _{6}=1+5 	imes 13$

$T_{6}=66$

If $3^{2 \sin 2 \alpha-1},14$ and $3^{4-2 \sin 2 \alpha}$ are the first three terms of an $A.P.$ for some $\alpha$, then the sixth term of this $A.P.$ is

Similar Questions

Find the sum of all two digit numbers which when divided by $4,$ yields $1$ as remainder.

The sides of a right angled triangle are in arithmetic progression. If the triangle has area $24$ , then what is the length of its smallest side ?

Let $x_n, y_n, z_n, w_n$ denotes $n^{th}$ terms of four different arithmatic progressions with positive terms. If $x_4 + y_4 + z_4 + w_4 = 8$ and $x_{10} + y_{10} + z_{10} + w_{10} = 20,$ then maximum value of $x_{20}.y_{20}.z_{20}.w_{20}$ is-

The sum of the numbers between $100$ and $1000$, which is divisible by $9$ will be

The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is $10$, the number of such triangles is