The solution of the equation $2{x^2} + 3x - 9 \le 0$ is given by
The solution of the equation $2{x^2} + 3x - 9 \le 0$ is given by
- A
$\frac{3}{2} \le x \le 3$
- B
$ - 3 \le x \le \frac{3}{2}$
- C
$ - 3 \le x \le 3$
- D
$\frac{3}{2} \le x \le 2$
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A man standing on a railway platform noticed that a train took $21\, s$ to cross the platform (this means the time elapsed from the moment the engine enters the platform till the last compartment leaves the platform) which is $88\,m$ long, and that it took $9 s$ to pass him. Assuming that the train was moving with uniform speed, what is the length of the train in meters?
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- [KVPY 2015]
If the equation $\frac{{{x^2} + 5}}{2} = x - 2\cos \left( {ax + b} \right)$ has atleast one solution, then $(b + a)$ can be equal to
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