1
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A lot of 100 bulbs contains 10 defective bulbs. Five bulbs selected at random from the lot and sent to retain store, then the probability that the store will receive at most one defective bulb is

A
0.59049
B
0.91854
C
0.6561
D
0.32805
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The differential equation of family of circles whose centres lie on $$\mathrm{X}$$-axis is

A
$$\frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2+1=0$$
B
$$y\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^2+1=0$$
C
$$y\left(\frac{d^2 y}{d x^2}\right)-\left(\frac{d y}{d x}\right)^2-1=0$$
D
$$y\left(\frac{d^2 y}{d x^2}\right)+\left(\frac{d y}{d x}\right)^2-1=0$$
3
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\frac{\cos (A+B)}{\cos (A-B)}=\frac{\sin (C+D)}{\sin (C-D)}$$, then $$\tan A \tan B \tan C=$$

A
0
B
tan D
C
cot D
D
$$-$$ tan D
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area of the region bounded by the curve y$$^2$$ = 4x and the line y = x is

A
$$\frac{8}{3}$$ sq. units
B
$$\frac{5}{8}$$ sq. units
C
$$\frac{3}{8}$$ sq. units
D
$$\frac{3}{5}$$ sq. units
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