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1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of the volume of a sphere with respect to its surface area, when the radius is 5 m is

A
$\frac{5}{2} \mathrm{~m}$
B
$\frac{2}{5} \mathrm{~m}$
C
$\frac{1}{2} \mathrm{~m}$
D
$\frac{1}{3} \mathrm{~m}$
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the line $a x+b y+c=0$ is normal to the curve $x y=1$, then

A
$\mathrm{a}>0, \mathrm{~b}>0$
B
$\quad a>0, b<0$
C
a $<0$, b $\geqslant 0$
D
a $<0$, b $<0$
3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The sum of two nonzero numbers is 4 . The minimum value of the sum of their reciprocals is

A
$\frac{3}{4}$
B
$\frac{6}{5}$
C
1
D
4
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The combined equation of the tangent and normal to the curve $x y=15$ at the point $(5,3)$ is________

A
$15 x^2-15 y^2+16 x y=480$
B
$15 x^2+16 x y-198 x+10 y+480-15 y^2=0$
C
$15 x^2-16 x y+19 x-10 y-480+15 y^2=0$
D
$15 x^2+16 x y+198 x-10 y-480+15 y^2=0$
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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