the medians AD and BE of a triangle with vertices A ( 0, b ) , B( 0,0 ) and C ( a, 0 ) are perpedicular to each other , if
The straight line 3x + y = 9 divides the line segment joining the points (1, 3) and (2, 7) in the ratio
A ray light coming from the point ( 1, 2 ) is reflected at a point A on the axis and then passes through the point A on the x axis..
The equation of a straight line, which passes through the 2008 point (a cos3 theta, a sin3theta) and perpendicular to x sec theta ..
If the line px - qy = r intersects the coordinate axes at (a, 0) and (0, b), then the value of a + b is equal to
Let PQR be a right angled isosceles triangle, right angled at P (2, 1). If the equation of the line QR is 2x + y = 3, then the equ..
If the sum of the distances of a point from two perpendicular lines in a plane is 1, then its locus is
The locus of variable point whose distance from
If the slope of one of the lines represented by axx^2+2hxy+by2 = 0 is the square of the other, then
The light ray emmiting from the point source
The equations of the lines through (1, 1) and making angles of 45 degree with the line x + y = 0 are
If the lines ax + ky + 10 = 0, bx + (k + 1)y + 10 = 0 and cx+ k (k + 2)y + 10 = 0 are concurrent, then
If the x intercept of some line L is double as that
Joint equation of pair of lines through (3, - 2) and parallel to x^2 - 4xy + 3y^2 = 0 is
If point P (a, b) lies on the straight line 3x + 2y = 13 and the point Q (b, a) lies on the straight line 4x - y = 5, then equatio..
The orthocentre of the triangle formed by the lines xy = 0 and x + y = 1 is
The lines L1
A straight line perpendicular to the line 2x + y = 3 is passing through (1, 1). Its y -intercept is
Let A (2, - 3) and B (- 2,1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x + 3y = 1, then t..
The straight lines x + y = 0, 3x + y - 4 = 0, x + 3y - 4 = 0 form a triangle which is
The straight lines x + y = 0, 5x + y = 4 and x + 5y = 4 form
The equations to a pair of opposite sides of parallelogram are x^2 - 5^x + 6 = 0 and y^2 - 6^y + 5 = 0, the equations to its diago..
The lines are perpendicularly to a common line
A ray of light along gets reflected
The line is drawn through the point to meet the coordinate
The ratio by which the line 2x + 5y - 7 = 0 divides the straight line joining the points (- 4, 7) and (6, - 5) is
Locus of the image of the point
The point (4, 1) undergoes the following three transformations successively
(i) Reflection about the line y = x.
The point of intersection of lines represented by the equation 3x^2 + 8x^y - 3y^2 + 29x - 3y + 18 = 0 is
The line L given by
If the extremities of the base of an isosceles
Let PS be the medium of the triangle with vertices
The sides of a rhombus are along the lines
The points (2, 5) and (5, 1) are two opposite vertices of a rectangle. If other two vertices are points on the straight line y = 2..
If the image of point p
Let theta q be the angle between two lines
Two sides of a rhombus are along with the
If the line 2x+y=k pass through the point which
The lines x+y
If the three lines x-3y=p,
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