Embibe Experts Solutions for Chapter: Straight Line, Exercise 1: NDA & NA EE 2019 Paper 1 Mathematics

The point $(1, -1)$ is one of the vertices of a square. If $3x+2y=5$ is the equation of one diagonal of the square, then what is the equation of the other diagonal?

If the circumcentre of the triangle formed by the lines $x+2=0, y+2=0$ and $kx+y+2=0$ is $(-1, -1),$ then what is the value of $k?$

Let $ABC$ be a triangle. If $D(2, 5)$ and $E(5, 9)$ are the mid-points of the sides $AB$ and $AC$ respectively, then what is the length of the side $BC?$

If the foot of the perpendicular drawn from the point $(0, k)$ to the line $3x-4y-5=0$ is $(3, 1),$ then what is the value of $k?$

What is the obtuse angle between the lines whose slopes are $2-\sqrt{3}$ and $2+\sqrt{3}?$

If $3x-4y-5=0$ and $3x-4y+15=0$ are the equations of a pair of opposite sides of a square, then what is the area of the square?

What is the equation of the straight line which is perpendicular to $y=x$ and passes through $(3,2)?$

The straight lines $x+y-4=0,$$3x+y-4=0$ and $x+3y-4=0$ form a triangle, which is