Straight Line Questions

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 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

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

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)...

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 −...

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

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y−intercept - 4. Then a possible value of k is

If the straight lines and intersect at a point, then the integer k is equal to...

A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A. Its equation is

If ω = and |ω| = 1, then z lies on

If non-zero numbers a, b, c are in H.P., then the straight line = 0 always passes through a fixed point. That point is...

A lizard, at an initial distance of 21 cm behind an insect, moves from rest with an acceleration of 2 cm/s2 and pursues the insect which is crawling uniformly along a straight line at a speed of 20 cm...

Two points A and B move from rest along a straight line with constant acceleration f and f′ respectively. If A takes m sec. more than B and describes ′n′ units more than B in acquiri...

If the straight lines x = 1 + s, y = - 3 - λs, z = 1 + λs and x = , y = 1 + t, z = 2 - t with parameters s and t respectively, are co-planar then λ equals...