1
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\frac{x^2}{\mathrm{a}}+\frac{2 x y}{\mathrm{~h}}+\frac{y^2}{\mathrm{~b}}=0$ represents a pair of straight lines and slope of one of the lines is twice that of the other, then $a b: h^2$ is

A
$1: 2$
B
$2: 1$
C
$9: 8$
D
$8: 9$
2
MHT CET 2024 16th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose that the points $(h, k),(1,2)$ and $(-3,4)$ lie on the line $l_1$. If a line $l_2$ passing through the points $(h, k)$ and $(4,3)$ is perpendicular to $l_1$, then $\left(\frac{k}{h}\right)$ equals

A
$\frac{1}{3}$
B
$0$
C
$3$
D
$-\frac{1}{7}$
3
MHT CET 2024 15th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If one of the lines represented by $a x^2+2 h x y+b y^2=0$ is perpendicular to $\mathrm{m} x+\mathrm{n} y=18$, then

A
$\mathrm{an}^2+2 \mathrm{hmn}+\mathrm{bm}^2=0$
B
$\mathrm{am}^2+2 \mathrm{hmn}+\mathrm{bn}^2=0$
C
$\mathrm{am}^2-2 \mathrm{hmn}+\mathrm{bn}^2=0$
D
$\mathrm{an}^2-2 \mathrm{hmn}+\mathrm{bm}^2=0$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If two sides of a square are $4 x+3 y-20=0$ and $4 x+3 y+15=0$, then the area of the square is

A
36 sq. units
B
16 sq. units
C
4 sq. units
D
49 sq. units
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