Straight Line Questions

A line is drawn through the point (1, 2) to meetthe coordinate axes at P and Q such that it formsa triangle OPQ, where O is the origin. If the areaof the triangle OPQ is least, then the slope ofthe li...

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

If (0, 0), (−2, 1) and (5, 2) are the vertices of a triangle, Then equation of line passing through its centroid and parallel to the line x − 2y = 6 is-

The angle between the lines represented by ax2 + 2hxy + by2 = 0 is -

A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :...

A line l passing through the origin is perpendicular to the linesThen , the coordinate(s) of the point(s) on l2 at a distance of from the point of intersection of l and l1is(are) -...

Two lines L1: X = 5, and are coplanar. Then can take value(s)...

The lines xp + qy + r = 0, qx + ry + p = 0 and rx + py + q = 0 are concurrent, if

All points lying inside the triangle formed by the points (1, 3) , (5, 0) and (-1, 2) satisfy

Let E1 and E2 be two ellipses whose centers are at the origin. The major axes of E1 and E2 lie along the x-axis and the y-axis, respectively. Let S be the circle x2 + (y − 1)2 = 2. The straight ...

In , let L be a straight line passing through the origin. Suppose that all the points on L are at aconstant distance from the two planes P1 : x + 2y − z + 1 = 0 and P2 : 2x − y + z −...

Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z + 5 = 0 is :-

A ray of light along gets reflected upon reaching x-axis, the equation of the reflected ray is :

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1)(1, 1) and (1, 0) is :

If the line 2x + y = k passes through the pointwhich divides the line segment joining thepoints (1, 1) and (2, 4) in the ratio 3 : 2, thenk equals :

A straight line L through the point (3, - 2) is inclined at an angle 60o to the line √3x + y = 1. If L also intersects the x-axis, then the equation of L is

Equation of the plane containing the straight line and perpendicular to the plane containing the straight lines and is...

The points (-a,-b), (0, 0), (a, b) and are

Given the four lines with the equations x + 2 y - 3 = 0, 3x + 4 y - 7 = 0 2x + 3y - 4 = 0, 4x + 5y -6 = 0 then

The poinr (4, 1) undergoes the following three transformations successively (I) Reflection about the line y = x (II) Transformation through a distance 2 unit along the poitive direction of x-axis. (II...