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1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of common tangents that can be drawn to the circles $x^2+y^2-6 x=0$ and $x^2+y^2+6 x+2 y+1=0$ is __________
A
0
B
3
C
2
D
4
2
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

One end of the diameter of the circle $x^2+y^2-6 x-5 y-1=0$ is $(-1,3)$, then the equation of the tangent at the other end of the diameter is

A
$8 x+y-58=0$
B
$8 x-2 y-52=0$
C
$8 x-y-54=0$
D
$8 x+2 y-60=0$
3
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the circle, concentric with the circle $2 x^2+2 y^2-6 x+8 y+1=0$ and double of its area is

A
$2 x^2+2 y^2-6 x+8 y+11=0$
B
$2 x^2+2 y^2-6 x+8 y-11=0$
C
$4 x^2+4 y^2-12 x+16 y-21=0$
D
$4 x^2+4 y^2-12 x+16 y+21=0$
4
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the sides of a rectangle are given by the equations $x=-2, x=6, y=-2, y=5$, then the equation of the circle, drawn on the diagonal of this rectangle as its diameter, is

A
$x^2+y^2+4 x+3 y+22=0$
B
$x^2+y^2-4 x+3 y-22=0$
C
$x^2+y^2-4 x-3 y-22=0$
D
$x^2+y^2+4 x-3 y+22=0$
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