New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Straight Lines and Pair of Straight Lines question

2024 · 30 Jan · Shift 1 · Q38

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2024 · 30 Jan · Shift 1 · Q38

Straight Lines and Pair of Straight Lines question

2024 · 30 Jan · Shift 1 · Q38

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1

A line passing through the point

\mathrm{A}(9,0)

makes an angle of

30^{\circ}

with the positive direction of

x

-axis. If this line is rotated about A through an angle of

15^{\circ}

in the clockwise direction, then its equation in the new position is :

A
$\frac{y}{\sqrt{3}+2}+x=9$
B
$\frac{x}{\sqrt{3}+2}+y=9$
C
$\frac{x}{\sqrt{3}-2}+y=9$
D
$\frac{y}{\sqrt{3}-2}+x=9$

More from Straight Lines and Pair of Straight Lines

If $x^{2} - y^{2} + 2 h x y + 2 g x + 2 f y + c = 0$ is the locus of a point, which moves such that it is always equidistant from the lines $x + 2 y + 7 = 0$ and $2 x - y + 8 = 0$ , then the value of $g + c + h - f$ equals2024 · MCQ
Let $α, β, γ, δ \in Z$ and let $A (α, β), B (1, 0), C (γ, δ)$ and $D (1, 2)$ be the vertices of a parallelogram $ABCD$ . If $A B = 10$ and the points $A$ and $C$ lie…2024 · MCQ
Let $A (a, b), B (3, 4)$ and $C (- 6, - 8)$ respectively denote the centroid, circumcentre and orthocentre of a triangle. Then, the distance of the point $P (2 a + 3, 7 b + 5)$ from the line $2 x + 3 y - 4 = 0$ measured parallel to the line $x - 2 y - 1 = 0$ is2024 · MCQ
Let $A (- 2, - 1), B (1, 0), C (α, β)$ and $D (γ, δ)$ be the vertices of a parallelogram $A B C D$ . If the point $C$ lies on $2 x - y = 5$ and the point $D$ lies on $3 x - 2 y = 6$ , then the value of $∣ α + β + γ + δ ∣$ is…2024 · Numerical
If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is $α + 4 β$ , then the quadratic equation whose roots are $α + 4 β$ and $4 α + β$ , is :2023 · MCQ
The straight lines $l_{1}$ and $l_{2}$ pass through the origin and trisect the line segment of the line L : $9 x + 5 y = 45$ between the axes. If $m_{1}$ and $m_{2}$ are the slopes of the lines $l_{1}$ …2023 · MCQ
Let $C (α, β)$ be the circumcenter of the triangle formed by the lines $4 x + 3 y = 694 y - 3 x = 17$ , and $x + 7 y = 61$ . Then $(α - β)^{2} + α + β$ is equal to :2023 · MCQ
Let the equations of two adjacent sides of a parallelogram $ABCD$ be $2 x - 3 y = - 23$ and $5 x + 4 y = 23$ . If the equation of its one diagonal $AC$ is $3 x + 7 y = 23$ and the distance of A from the other diagonal is $d$ ,…2023 · Numerical