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1
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation $(\operatorname{cosp}-1) x^2+(\cos p) x+\operatorname{sinp}=0$ in the variable $x$, has real roots. Then p can take any value in the interval

A
$(0,2 \pi)$
B
$(-\pi, 0)$
C
$\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$
D
$(0, \pi)$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation $$x^3+x-1=0$$ has

A
no real root.
B
exactly two real roots.
C
exactly one real root.
D
more than two real roots.
3
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The quadratic equation whose roots are the numbers having arithmetic mean 34 and geometric mean 16 is

A
$x^2+68 x+256=0$
B
$x^2+68 x-256=0$
C
$x^2-68 x+256=0$
D
$x^2-68 x-256=0$
4
MHT CET 2020 16th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The rational form of a number 1.41 is

A
$$\frac{140}{99}$$
B
$$\frac{154}{99}$$
C
$$\frac{41}{99}$$
D
$$\frac{55}{99}$$
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