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

The equation $x^2-3 x y+\lambda y^2+3 x-5 y+2=0$, where $\lambda$ is real number represents pair of lines If $\theta$ is acute angle between the lines, then $\frac{\operatorname{cosec}^2 \theta}{\sqrt{10}}=$

A
10
B
$\frac{1}{\sqrt{10}}$
C
2
D
$\sqrt{10}$
2
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The joint equation of two lines passing through $(-2,3)$ and parallel to the bisectors of the angle between the co-ordinate axes is

A
$x^2-y^2+4 x+6 y-4=0$
B
$x^2+y^2+4 x+6 y-5=0$
C
$x^2-y^2+4 x+6 y-5=0$
D
$x^2+y^2+4 x+6 y+4=0$
3
MHT CET 2025 23rd April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The distance of the point $(1,2)$ from the line $x+y=0$ measured parallel to the line $3 x-y=2$ is

A
$\frac{3 \sqrt{2}}{8}$ units
B
$\frac{3 \sqrt{10}}{4}$ units
C
10 units
D
$5 \sqrt{5}$ units
4
MHT CET 2025 22nd April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The circumradius of the triangle formed by the lines $x y+2 x+2 y+4=0$ and $x+y+2=0$ is

A
2 units
B
1 unit
C
$\sqrt{2}$ units
D
$\sqrt{3}$ units
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