1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The foci of the conic $25 x^2+16 y^2-150 x=175$ are

A
$(0, \pm 3)$
B
$(3, \pm 3)$
C
$(0, \pm 5)$
D
$(5, \pm 5)$
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $\mathrm{A}=\mathop {\lim }\limits_{x \to {0^ + }}\left(1+\tan ^2 \sqrt{x}\right)^{\frac{1}{2 x}}$, then $\log _{\mathrm{e}} \mathrm{A}=$

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

The function $\mathrm{f}(x)=2 x-\left|x-x^2\right|$ is

A
continuous at $x=1$
B
discontinuous at $x=1$
C
not defined at $x=1$
D
discontinuous at $x=0$
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

Consider the statements given by following

(A) If $4+3=8$, then $5+3=9$

(B) If $6+4=10$, then moon is flat

(C) If both (A) and (B) are true, then $5+6=17$

Then which of the following statement is correct?

A
(A) is true while (B) and (C) are false
B
(A) and (B) are false, while (C) is true
C
(A) and (C) are true, while (B) is false
D
(A) is false, but (B) and (C) are true

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