MHT CET PYQs for Slope of a line with Solutions: Practice MHT CET Previous Year Questions

Educational Content Expert | Updated on - Nov 26, 2025

Slope of a line is an important topic in the Mathematics section in MHT CET exam. Practising this topic will increase your score overall and make your conceptual grip on MHT CET exam stronger.

This article gives you a full set of MHT CET PYQs for Slope of a line with explanations for effective preparation. Practice of MHT CET Mathematics PYQs including Slope of a line questions regularly will improve accuracy, speed, and confidence in the MHT CET 2026 exam.

MHT CET PYQs for Slope of a line with Solutions

1.
The angle between the lines $x + y - 3 = 0$ and $x - y + 3 = 0$ is $α$ and the acute angle between the lines $x - \sqrt{3} y + 2 \sqrt{3} = 0$ and $\sqrt{3} x - y + 1 = 0$ is $β$ . Which one of the following is correct?
- (A) $α = β$
- (B) $α > β$
- (C) $α < β$
- (D) $α = 2 β$
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2.
Form the differential equation of $y = a e^{3 x} \cos (x + b)$ Where $y^{'} = \frac{d y}{d x}$ and $y^{n} = \frac{d^{2} y}{d x^{2}}$ ?
- (A) $y^{''} - 6 y^{'} + 10 y = 0$
- (B) $y^{''} - 6 y^{'} - 10 y = 0$
- (C) $y^{''} + 6 y^{'} - 10 y = 0$
- (D) $y^{''} + 6 y^{'} + 10 y = 0$
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MHT CET PYQs for Slope of a line with Solutions: Practice MHT CET Previous Year Questions

MHT CET PYQs for Slope of a line with Solutions

1.
The angle between the lines $x + y - 3 = 0$ and $x - y + 3 = 0$ is $α$ and the acute angle between the lines $x - \sqrt{3} y + 2 \sqrt{3} = 0$ and $\sqrt{3} x - y + 1 = 0$ is $β$ . Which one of the following is correct?

2.
Form the differential equation of $y = a e^{3 x} \cos (x + b)$ Where $y^{'} = \frac{d y}{d x}$ and $y^{n} = \frac{d^{2} y}{d x^{2}}$ ?

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MHT CET PYQs for Slope of a line with Solutions

1.The angle between the lines x+y−3=0 and x−y+3=0 is α and the acute angle between the lines x−3y+23=0 and 3x−y+1=0 is β. Which one of the following is correct?

2.Form the differential equation of y=ae3xcos⁡(x+b) Where y′=dydx and yn=d2ydx2?

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1.
The angle between the lines $x + y - 3 = 0$ and $x - y + 3 = 0$ is $α$ and the acute angle between the lines $x - \sqrt{3} y + 2 \sqrt{3} = 0$ and $\sqrt{3} x - y + 1 = 0$ is $β$ . Which one of the following is correct?

2.
Form the differential equation of $y = a e^{3 x} \cos (x + b)$ Where $y^{'} = \frac{d y}{d x}$ and $y^{n} = \frac{d^{2} y}{d x^{2}}$ ?