Find the area of triangle ABC with vertices A (a, a2), B (b, b2), C (c, c2).
None of these
Find the values of λ for which the point (2 – λ, 1 + 2λ) lies on the non-origin side of the line 4x – y – 2 = 0.
Find the incentre of ΔABC if A is (4, –2), B is (–2, 4) and C is (5, 5).
Find the coordinates of the orthcentre of the triangle whose vertices are (0, 0), (2, –1) and (–1, 3).
Find straight lines represented by 6x2 + 13xy + 6y2 + 8x + 7y + 2 = 0 and also find the point of intersection.
If a, b, c are all distinct, then the equations (b – c)x + (c – a)y + a – b = 0 and (b3 – c3)x + (c3 – a3)y + a3 – b3 = 0 represent the same line if
If the pair of lines x2 – 2pxy – y2 = 0 and x2 – 2qxy – y2 = 0 are such that each pair bisects the angle between the other pair, then pq equals
Angles made with x-axis by the two lines through the point (1, 2) and cutting the line x + y = 4 at a distance from the point (1, 2) are
If the algebraic sum of the perpendicular distances of a variable line from the points (0, 2), (2, 0) and (1, 1) is zero, then the line always passes through the point
be three points. Then the equation of the bisector of angle PQR is
A straight line passes through (2, 3) and the portion of the line intercepted between the axes is bisected at this point. Find its equation