JEE MAINS PRACTICE · Mathematics
Straight Lines
894 practice questions for JEE Mains Practice — 304 easy · 338 medium · 252 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
If $(-4,5)$ is one vertex and $7 x-y+8=0$ is one diagonal of a square, then the equation of second diagonal is
MCQ
The base of vertices of an isosceles triangle $P Q R$ are $Q(1,3)$ and $R(-2,7)$. The vertex $P$ can be
MCQ
The foot of the perpendicular from $(-2,3)$ to the line $2 x-y-3=0$
MCQ
One diagonal of a square is along the line $8 x-15 y=0$ and one of its vertex is $(1,2)$. Then, the equation of the sides of the square passing through this vertex are
MCQ
If point $D$ divides the base $B^{\prime}$; of a $\triangle A B C$ in the ratio $n: m$, then the value of $m B D^2+n C D^2+(m+n) A D^2$ is
MCQ
The intercepts on the straight line $y=m x$ by the line $y=2$ and $y=6$ is less than 5, then $m$ belongs to
MCQ
The distance of the point $(1,1)$ from the line $2 x-3 y-4=0$ in the direction of the line $x+y=1$, is
MCQ
The three lines of a triangle are given by $\left(x^2-y^2\right)(2 x+3 y-6)=0$. If the point $(-2, \lambda)$ lies inside and $(\mu, 1)$ lies outside the triangle, then
MCQ
The adjoining graph
MCQ
The distance of the point $(2,3)$ from the line $2 x-3 y+9=0$ measured along a line $x-y+1=0$ is
MCQ
The equation to the line through the point of intersection of $x-y+1=0,3 x+2 y+4=0$ and perpendicular to $x-4 y=0$ is
MCQ
The ratio in which the segment joining $(2,1)$ and $(0,-2)$ is divided by the line $2 x-3 y+4=0$ is