Straight Lines and Pair of Straight Lines PYQs - Last 5 Years
WB JEE / Mathematics / Coordinate Geometry / 17 recent questions
MathematicsCoordinate Geometry2022-2026
Practice 17 WB JEE 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.
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2022-2026
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Last 5 Years Straight Lines and Pair of Straight Lines Questions
Showing 17 of 17 filtered questions.
1Straight Lines And Pair Of Straight Lines
The ends $A$, $B$ of a straight line segment of constant length $c$ slide upon the fixed rectangular axes $O X, O Y$ respectively. If the rectangle $O A P B$ completed, then the locus of the foot of perpendicular drawn from $P$ to $A B$ is
MCQ+2 / -0.52026
2Straight Lines And Pair Of Straight Lines
The line parallel to the $x$-axis passing through the intersection of the lines $a x+2 b y+3 b=0$ and $b x-2 a y-3 a=0$ where $(a, b) \neq(0,0)$ is
MCQ+1 / -0.252025
3Straight Lines And Pair Of Straight Lines
Consider three points $P(\cos \alpha, \sin \beta), Q(\sin \alpha, \cos \beta)$ and $R(0,0)$, where $0<\alpha, \beta<\frac{\pi}{4}$. Then
MCQ+1 / -0.252025
4Straight Lines And Pair Of Straight Lines
If \(\mathrm{ABC}\) is an isosceles triangle and the coordinates of the base points are \(B(1,3)\) and \(C(-2,7)\). The coordinates of \(A\) can be
MCQM+2 / -02024
5Straight Lines And Pair Of Straight Lines
A square with each side equal to '\(a\)' above the \(x\)-axis and has one vertex at the origin. One of the sides passing through the origin makes an angle \(\alpha\) \(\left(0<\alpha< \frac{\pi}{4}\right)\) with the positive direction of th...
MCQM+2 / -02024
6Straight Lines And Pair Of Straight Lines
Let \(\Gamma\) be the curve \(\mathrm{y}=\mathrm{be}^{-x / a}\) & \(\mathrm{L}\) be the straight line \(\frac{x}{\mathrm{a}}+\frac{\mathrm{y}}{\mathrm{b}}=1\) where \(\mathrm{a}, \mathrm{b} \in \mathbb{R}\).
Then
Then
MCQM+2 / -02024
7Straight Lines And Pair Of Straight Lines
In \(\triangle \mathrm{ABC}\), co-ordinates of \(\mathrm{A}\) are \((1,2)\) and the equation of the medians through \(\mathrm{B}\) and C are \(x+\mathrm{y}=5\) and \(x=4\) respectively. Then the midpoint of \(\mathrm{BC}\) is
MCQ+1 / -0.252024
8Straight Lines And Pair Of Straight Lines
If \((1,5)\) be the midpoint of the segment of a line between the line \(5 x-y-4=0\) and \(3 x+4 y-4=0\), then the equation of the line will be
MCQ+1 / -0.252024
9Straight Lines And Pair Of Straight Lines
A rectangle ABCD has its side parallel to the line y = 2x and vertices A, B, D are on lines y = 1, x = 1 and x = \(-\)1 respectively. The coordinate of C can be
MCQM+2 / -02023
10Straight Lines And Pair Of Straight Lines
The locus of points (x, y) in the plane satisfying \({\sin ^2}x + {\sin ^2}y = 1\) consists of
MCQ+2 / -0.52023
11Straight Lines And Pair Of Straight Lines
The straight lines \(x + 2y - 9 = 0,3x + 5y - 5 = 0\) and \(ax + by - 1 = 0\) are concurrent if the straight line \(35x - 22y + 1 = 0\) passes through the point
MCQ+1 / -0.252023
12Straight Lines And Pair Of Straight Lines
If \(4{a^2} + 9{b^2} - {c^2} + 12ab = 0\), then the family of straight lines \(ax + by + c = 0\) is concurrent at
MCQ+1 / -0.252023
13Straight Lines And Pair Of Straight Lines
The equation \({r^2}{\cos ^2}\left( {\theta - {\pi \over 3}} \right) = 2\) represents
MCQ+1 / -0.252023
14Straight Lines And Pair Of Straight Lines
A, B are fixed points with coordinates (0, a) and (0, b) (a > 0, b > 0). P is variable point (x, 0) referred to rectangular axis. If the angle \(\angle\)APB is maximum, then
MCQ+1 / -0.252023
15Straight Lines And Pair Of Straight Lines
Consider the equation \(y - {y_1} = m(x - {x_1})\). If m and x1 are fixed and different lines are drawn for different values of y1, then
MCQM+2 / -02022
16Straight Lines And Pair Of Straight Lines
If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is
MCQ+1 / -0.252022
17Straight Lines And Pair Of Straight Lines
If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, 1) to a variable straight line be zero, then the line passes through the fixed point
MCQ+1 / -0.252022