1
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of two lines through the origin, each making an angle with measure of $30^{\circ}$ with the positive Y -axis, is

A
$x^2-3 y^2=0$
B
$2 x^2-3 y^2=0$
C
$3 x^2-y^2=0$
D
$x^2+3 y^2=0$
2
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

With usual notations, if the lengths of the sides of a triangle are $7 \mathrm{~cm}, 4 \sqrt{3} \mathrm{~cm}$ and $\sqrt{13} \mathrm{~cm}$, then the measures of the smallest angle is

A
$\frac{\pi}{2}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$
3
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the volume of tetrahedron whose vertices are $A \equiv(1,-6,10), B \equiv(-1,-3,7), C \equiv(5,-1, k)$ and $D \equiv(7,-4,7)$ is 11 cu . units, then the value of $k$ is

A
7
B
5
C
3
D
1
4
MHT CET 2024 11th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the slope of one of the lines given by $\mathrm{K} x^2+6 x y+y^2=0$ is three times the order, then the value of $K$ is

A
$\frac{9}{4}$
B
$\frac{4}{9}$
C
$\frac{27}{4}$
D
$\frac{4}{27}$
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