1
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of tangent to the curve $y=\cos (x+y)$ where $-2 \pi \leq x \leq 2 \pi$ and which is parallel to the line $x+2 y=0$, is

A
$2 x+4 y+\pi=0$
B
$2 x+4 y-\pi=0$
C
$2 x+4 y-3 \pi=0$
D
$2 x-4 y+3 \pi=0$
2
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The eccentricity of the ellipse $9 x^2+5 y^2-30 y=0$ is

A
$\frac{1}{3}$
B
$\frac{2}{3}$
C
$\frac{3}{7}$
D
$\frac{4}{9}$
3
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the tangent at $(1,7)$ to the curve $x^2=y-6$ touches the circle $x^2+y^2+16 x+12 y+\mathrm{C}=0$, then $\mathrm{C}=$

A
85
B
95
C
185
D
195
4
MHT CET 2025 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The value of 'a' so that the sum of squares of the roots of the equation $x^2-(a-2) x-a+1=0$ assumes the least value is
A
2
B
1
C
4
D
0

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