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

2005 · Shift 0 · Q103

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

PYQ Library
JEE Main
Mathematics
Straight Lines and Pair of Straight Lines
2005 · Shift 0 · Q103

Straight Lines and Pair of Straight Lines question

2005 · Shift 0 · Q103

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

The line parallel to the

x

- axis and passing through the intersection of the lines

ax + 2by + 3b = 0

and

bx - 2ay - 3a = 0,

where

(a, b) e (0, 0)

is :

A
below the $x$ - axis at a distance of ${3 \over 2}$ from it
B
below the $x$ - axis at a distance of ${2 \over 3}$ from it
C
above the $x$ - axis at a distance of ${3 \over 2}$ from it
D
above the $x$ - axis at a distance of ${2 \over 3}$ from it

More from Straight Lines and Pair of Straight Lines

If non zero numbers $a, b, c$ are in $H . P .,$ then the straight line $\frac{x}{a} + \frac{y}{b} + \frac{1}{c} = 0$ always passes through a fixed point. That point is :2005 · MCQ
If a vertex of a triangle is $(- 1, 2)$ and the mid points of two sides through this vertex are $(- 1, 2)$ and $(3, 2)$ then the centroid of the triangle is :2005 · MCQ
The equation of the straight line passing through the point $- 1$ and making intercepts on the co-ordinate axes whose sum is $- 1$ is :2004 · MCQ
Let $A (2, - 3)$ and $B (- 2, 1)$ be vertices of a triangle $A B C$ . If the centroid of this triangle moves on the line $2 x + 3 y = 1$ , then the locus of the vertex $C$ is the line :2004 · MCQ
A square of side a lies above the $x$ -axis and has one vertex at the origin. The side passing through the origin makes an angle $α (0 < α < \frac{π}{4})$ with the positive direction of x-axis. The equation…2003 · MCQ
Locus of centroid of the triangle whose vertices are $(a cos t, a sin t), (b sin t, - b cos t)$ and $(1, 0),$ where $t$ is a parameter, is :2003 · MCQ
If $x_{1}, x_{2}, x_{3}$ and $y_{1}, y_{2}, y_{3}$ are both in G.P. with the same common ratio, then the points $(x_{1}, y_{1}), (x_{2}, y_{2})$ and $(x_{3}, y_{3})$ :2003 · MCQ
If the equation of the locus of a point equidistant from the point $(a_{1,} b_{1})$ and $(a_{2,} b_{2})$ is $(a_{1} - a_{2}) x + (b_{1} - b_{2}) y + c = 0$ , then the value…2003 · MCQ