1
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If a curve $y=a \sqrt{x}+b x$ passes through the point $(1,2)$ and the area bounded by this curve, line $x=4$ and the X -axis is 8 sq . units, then the value of $a-b$ is

A
-2
B
2
C
-4
D
4
2
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The foci of a hyperbola coincide with the foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$. The equation of the hyperbola with eccentricity 2 is

A
$\frac{x^2}{12}-\frac{y^2}{4}=1$
B
$\frac{x^2}{4}-\frac{y^2}{12}=1$
C
$\frac{x^2}{12}-\frac{y^2}{16}=1$
D
$\frac{x^2}{16}-\frac{y^2}{12}=1$
3
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The foci of a hyperbola coincide with the foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$. The equation of the hyperbola with eccentricity 2 is

A
$\frac{x^2}{12}-\frac{y^2}{4}=1$
B
$\frac{x^2}{4}-\frac{y^2}{12}=1$
C
$\frac{x^2}{12}-\frac{y^2}{16}=1$
D
$\frac{x^2}{16}-\frac{y^2}{12}=1$
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

A wet substance in the open air loses its moisture at a rate proportional to the moisture content. If a sheet, hung in the open air, loses half its moisture during the first hour, then $90 \%$ of the moisture will be lost in ________ hours.

A
$2 \log _2 10$
B
$\frac{4 \log 10}{\log 2}$
C
$\quad \log _2 10$
D
$\frac{3 \log 10}{\log 2}$
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