1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If slope of a tangent to the curve $$x y+a x+b y=0$$ at the point $$(1,1)$$ on it is 2, then a - b is

A
3
B
1
C
2
D
$$-$$1
2
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
$$x-\sqrt{3} y-14=0$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Let $$a, b, c$$ be the lengths of sides of triangle $$A B C$$ such that $$\frac{a+b}{7}=\frac{b+c}{8}=\frac{c+a}{9}=k$$. Then $$\frac{(\mathrm{A}(\triangle \mathrm{ABC}))^2}{\mathrm{k}^4}=$$

A
36
B
32
C
38
D
40
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the mean and S.D. of the data $$3,5,7, a, b$$ are 5 and 2 respectively, then $$a$$ and $$b$$ are the roots of the equation

A
$$x^2-10 x+18=0$$
B
$$2 x^2-20 x+19=0$$
C
$$x^2-10 x+19=0$$
D
$$x^2-20 x+18=0$$
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