1
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The number of integral values of $$\mathrm{p}$$ in the domain $$[-5,5]$$, such that the equation $$2 x^2+4 x y-p y^2+4 x+q y+1=0$$ represents pair of lines, are

A
3
B
4
C
7
D
8
2
MHT CET 2023 10th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The points $$(1,3),(5,1)$$ are opposite vertices of a diagonal of a rectangle. If the other two vertices lie on the line $$y=2 x+\mathrm{c}$$, then one of the vertex on the other diagonal is

A
$$(1,-2)$$
B
$$(0,-4)$$
C
$$(2,0)$$
D
$$(3,2)$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the slope of one of the lines represented by $$a x^2+(2 a+1) x y+2 y^2=0$$ is reciprocal of the slope of the other, then the sum of squares of slopes is

A
$$\frac{17}{4}$$
B
$$\frac{82}{9}$$
C
$$\frac{97}{36}$$
D
2
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of a line, whose perpendicular distance from the origin is 7 units and the angle, which the perpendicular to the line from the origin makes, is $$120^{\circ}$$ with positive $$\mathrm{X}$$-axis, is

A
$$x+\sqrt{3} y-14=0$$
B
$$x+\sqrt{3} y+14=0$$
C
$$x-\sqrt{3} y+14=0$$
D
$$x-\sqrt{3} y-14=0$$
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