Straight Lines ...

The lines x + 2y – 3 = 0, 2x + y – 3 = 0 and the line l are concurrent . If the line I passes through the origin, then its equation is

The triangle formed by the lines x + y = 1, 2x + 3y – 6 = 0 and 4x – y + 4 = 0 lies in

The area of triangle formed by the lines y = x, y = 2x and y = 3x + 4 is

If the points representing the complex numbers - 4 +3i , 2 – 3i and 0 + pi are collinear , then the value of p is

The lines ix + my + n = 0 , mx + ny + l = 0 and nx + ly +m = 0 are concurrent if

The equations of the lines through ( - 1 , - 1 ) and making angles of 45⁰ with the line x + y = 0 are

Given the 4 lines with equations x + 2y – 3 = 0, 2x + 3y – 4 = 0, 3x + 4y – 5 = 0, 4x + 5y – 6 = 0 , then these lines are

The locus of the equation xy = 0 is

The locus of the inequation xy ≥ 0 is

The diagram shows two points, $$M$$ and $$N$$ on a Cartesian plane.
Calculate the distance between $$M$$ and $$N$$.

A student moves $$\sqrt {2x} km$$ east from his residence and then moves x km north. He then goes x km north east and finally he takes a turn of $$90^{\circ}$$ towards right and moves a distance x km and reaches his school. What is the shortest distance of the school from his residence?

On the Cartesian plane. $$PQR$$ is an isosceles triangle.
The perimeter of $$\triangle{PQR}$$ is

The area of the triangle formed by three vertices $$O(0, 0), A(1, 0), B(0, 1)$$ is _____ sq. units.

Distance between the points $$(2,-3)$$ and $$(5,a)$$ is $$5$$. Hence the value of $$a=$$............

The points $$(5,1), (1,-1)$$ and $$(11,4)$$ are:

If a plane has X-intercept $$l$$, Y-intercept $$m$$ and Z-intercept $$n$$, and perpendicular distance of plane from origin is $$k$$, then ?

If the angle $$\theta$$ gives the inclination of a line, then the slope of that line is given by :

A light ray emerging from the point source placed at $$P(2, 3)$$ is reflected at a point $$Q$$ on the y-axis. It then passes through the point $$R(5, 10)$$. The coordinates of $$Q$$ are

The graph of $$x = 5$$ is perpendicular to _______.