1
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the slopes of the lines given by the equation $a x^2+2 h x y+b y^2=0$ are in the ratio $5: 3$, then the ratio $h^2: a b=$

A
$3: 5$
B
$16: 15$
C
$5: 3$
D
$15: 16$
2
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a line passing through the point $(7,-4)$ and perpendicular to the line passing through the points $(2,3)$ and $(1,-2)$ is

A
$x+5 y+13=0$
B
$x-2 y-15=0$
C
$x-5 y-13=0$
D
$x+2 y+1=0$
3
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

$\int_\limits0^1 \tan ^{-1}\left(\frac{2 x-1}{1+x-x^2}\right) d x=$

A
2
B
1
C
0
D
4
4
MHT CET 2020 19th October Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=\frac{1-\sin x+\cos x}{1+\sin x+\cos x}$, for $x \neq \pi$ is continuous at $x=\pi$, then $f(\pi)=$

A
1
B
$-$1
C
0
D
2
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