1
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the line $3 x+4 y-24=0$ intersects X and Y axes in points A and B respectively then incentre of the triangle OAB where O is origin is

A

$(4,4)$

B

$(2,2)$

C

$(3,4)$

D

$(4,3)$

2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation $x^2-3 x y+2 y^2+3 x-5 y+2=0$ represents a pair of straight lines. If $\theta$ is the angle between them, then the value of $\cos \theta$ is equal to

A

$\frac{1}{3 \sqrt{2}}$

B

$\frac{3}{\sqrt{10}}$

C

$\frac{2}{\sqrt{10}}$

D

$\frac{1}{5 \sqrt{2}}$

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The acute angle between the line $4 x-2 y+13=0$ and the line which makes equal intercepts with the co-ordinate axes is

A

$\tan ^{-1}(2)$

B

$\tan ^{-1}(3)$

C

$\tan ^{-1}\left(\frac{1}{2}\right)$

D

$\tan ^{-1}\left(\frac{1}{3}\right)$

4
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the pair of lines $3 x^2-5 x y+\mathrm{p} y^2=0$ and $6 x^2-x y-5 y^2=0$ have one line common, then $\mathrm{p}=$

A

$2, \frac{25}{4}$

B

$-2, \frac{25}{4}$

C

$2, \frac{-25}{4}$

D

$-2, \frac{-25}{4}$

MHT CET Subjects
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