Straight Lines and Pair of Straight Lines
MHT CET / Mathematics / Coordinate Geometry / 177 questions
MathematicsCoordinate Geometry177 PYQs
Practice 177 MHT CET Mathematics questions from Straight Lines and Pair of Straight Lines. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
177
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Mathematics / Coordinate Geometry
2019-2026
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2022-2026
177
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2017-2026
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Straight Lines and Pair of Straight Lines Questions
Showing 27 of 177 questions on this page.
1Straight Lines And Pair Of Straight Lines
If the lines \(x^2-4xy+y^2=0\) make angles \(\alpha\) and \(\beta\) with positive direction X-axis, then \(\cot^2\alpha+\cot^2\beta=\)
MCQ+2 / -02021
2Straight Lines And Pair Of Straight Lines
If \(\mathrm{p}\) is the length of the perpendicular from origin to the line whose intercepts on the axes are a and \(b\), then \(\frac{1}{a^2}+\frac{1}{b^2}=\)
MCQ+2 / -02021
3Straight Lines And Pair Of Straight Lines
If \(\mathrm{(m+3 n)(3 m+n)=4 h^2}\), then the acute angle between the lines represented by \(\mathrm{m x^2+2 h x y+n y^2=0}\) is
MCQ+2 / -02021
4Straight Lines And Pair Of Straight Lines
The slope of the line through the origin which makes an angle of 30\(^\circ\) with the positive direction of Y-axis measured anticlockwise is :
MCQ+2 / -02021
5Straight Lines And Pair Of Straight Lines
The joint equation of the pair of lines through the origin and making an equilateral triangle with the line \(x=3\) is
MCQ+2 / -02021
6Straight Lines And Pair Of Straight Lines
If the acute angle between the lines given by \(\mathrm{a x^2+2 h x y+b y^2=0}\) is \(\frac{\pi}{4}\), then \(\mathrm{4 h^2=}\)
MCQ+2 / -02021
7Straight Lines And Pair Of Straight Lines
The joint equation of pair of lines through the origin and making an equilateral triangle with the line \(y=3\) is
MCQ+2 / -02021
8Straight Lines And Pair Of Straight Lines
If the equation \(3x^2-kxy-3y^2=0\) represents the bisectors of angles between the lines \(x^2-3xy-4y^2=0\), then value of k is
MCQ+2 / -02021
9Straight Lines And Pair Of Straight Lines
The x-intercept of a line passing through the points \(\left(\frac{-1}{2}, 1\right)\) and (1, 2) is :
MCQ+2 / -02021
10Straight Lines And Pair Of Straight Lines
If the equation $3 x^2+10 x y+3 y^2+16 y+k=0$ represents a pair of lines, then the value of kis
MCQ+2 / -02020
11Straight Lines And Pair Of Straight Lines
The equation of a line passing through the point $(7,-4)$ and perpendicular to the line passing through the points $(2,3)$ and $(1,-2)$ is
MCQ+2 / -02020
12Straight Lines And Pair Of Straight Lines
If the slopes of the lines given by the equation $a x^2+2 h x y+b y^2=0$ are in the ratio $5: 3$, then the ratio $h^2: a b=$
MCQ+2 / -02020
13Straight Lines And Pair Of Straight Lines
If the angle between the lines given by the equation \(x^2-3 x y+\lambda y^2+3 x-5 y+2=0, \lambda \geq 0\), is \(\tan ^{-1}\left(\frac{1}{3}\right)\), then \(\lambda=\)
MCQ+2 / -02020
14Straight Lines And Pair Of Straight Lines
If \((a,-2 a), a>0\) is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of the line is
MCQ+2 / -02020
15Straight Lines And Pair Of Straight Lines
If the equation \(k x y+5 x+3 y+2=0\) represents a pair of lines, then \(k=\)
MCQ+2 / -02020
16Straight Lines And Pair Of Straight Lines
If the equation \(a x^2+2 h x y+b y^2+2 g x+2 f y=0\) has one line as the bisector of the angle between co-ordinate axes, then
MCQ+2 / -02020
17Straight Lines And Pair Of Straight Lines
The straight lines represented by the equation \(9 x^2-12 x y+4 y^2=0\) are
MCQ+2 / -02020
18Straight Lines And Pair Of Straight Lines
The polar co-ordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$. If $Q$ is the image of $P$ about the $X$-axis then the polar co-ordinates of $Q$ are.....̣...
MCQ+2 / -02019
19Straight Lines And Pair Of Straight Lines
The acute angle between lines $x-3=0$ and $x+y=19$ is.......
MCQ+2 / -02019
20Straight Lines And Pair Of Straight Lines
If sum of the slopes of the lines given by $x^2-4 p x y+8 y^2=0$ is three times their product then $p=$ ...........
MCQ+2 / -02019
21Straight Lines And Pair Of Straight Lines
The joint equation of lines passing through origin and having slopes $(1+\sqrt{2})$ and $\frac{-1}{1+\sqrt{2}}$ is ..........
MCQ+2 / -02019
22Straight Lines And Pair Of Straight Lines
If $P(2,2), Q(-2,4)$ and $R(3,4)$ are the vertices of $\triangle P Q R$ then the equation of the median through vertex $R$ is ......
MCQ+2 / -02019
23Straight Lines And Pair Of Straight Lines
The joint equation of the lines passing through the origin and trisecting the first quadrant is
MCQ+2 / -02019
24Straight Lines And Pair Of Straight Lines
The joint equation of pair of straight lines passing through origin and having slopes $(1+\sqrt{2})$ and $\left(\frac{1}{1+\sqrt{2}}\right)$ is .......
MCQ+2 / -02019
25Straight Lines And Pair Of Straight Lines
The $y$-intercept of the line passing through $A(6,1)$ and perpendicular to the line $x-2 y=4$ is ...........
MCQ+2 / -02019
26Straight Lines And Pair Of Straight Lines
If $(-\sqrt{2}, \sqrt{2})$ are cartesian co-ordinates of the point, then its polar co-ordinates are .........
MCQ+2 / -02019
27Straight Lines And Pair Of Straight Lines
If lines represented by \(\left(1+\sin ^2 \theta\right) x^2+2 h x y+2 \sin \theta y^2=0, \theta \in[0,2 \pi]\) are perpendicular to each other then $\theta=$ ...........
MCQ+2 / -02019
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