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The number of distinct real roots of the

equation,in the

interval $\left [ -\frac{\pi }{4} ,\frac{\pi }{4}\right ]$ is

Option 1)
4

Option 2)
3

Option 3)
2

Option 4)
1

Answers (1)

best_answer

As we leant in

Cramer's rule for solving system of linear equations -

When $\Delta =0$ and $\Delta _{1}=\Delta _{2}=\Delta _{3}=0$ ,

then the system of equations has infinite solutions.

- wherein

$a_{1}x+b_{1}y+c_{1}z=d_{1}$

$a_{2}x+b_{2}y+c_{2}z=d_{2}$

$a_{3}x+b_{3}y+c_{3}z=d_{3}$

and

$\Delta =\begin{vmatrix} a_{1} &b_{1} &c_{1} \\ a_{2} & b_{2} &c_{2} \\ a_{3}&b _{3} & c_{3} \end{vmatrix}$

$\Delta _{1},\Delta _{2},\Delta _{3}$ are obtained by replacing column 1,2,3 of $\Delta$ by $\left ( d_{1},d_{2},d_{3} \right )$ column

$\begin{vmatrix} \cos x & \sin x & \sin x \\ \sin x & \cos x & \sin x \\ \sin x & \sin x & \cos x \end{vmatrix}=0$

C₁ $\rightarrow$ C₁+C₂+C₃

Option 1)

4

This option is incorrect.

Option 2)

3

This option is incorrect.

Option 3)

2

This option is correct.

Option 4)

1

This option is incorrect.

Posted by

divya.saini

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