then the point (x, y) lies on same side of the line 2x + y – 6 = 0 as the point –
(3, 2), (1, 5)
Let L ≡ 2x + y – 6.
(3, 2) L ≡ 2 > 0
(1, 5) L ≡ 1 > 0.
If p is length of the perpendicular from the origin on the line are in A.P. then ab is equal to
If two of the lines given by the equation ax3 – 9yx2 – y2x + 4y3 = 0 are perpendicular then a is equal to
The number of straight lines equidistant from three non-collinear points in the plane of the points is equal to
A line bisecting the ordinate PN of a point P(at2, 2at), t > 0 on the parabola y2 = 4ax, a > 0 is drawn parallel to the axis to meet the curve at Q. If NQ and the tangent at the point P meet at, T, then the coordinates of point T is (where point N lie on the axis)
If the pair of line intersect on x-axis, then α is equal to –
If the area of the rhombus enclosed by the lines be 2 square units, then
If a2 + b2 – c2 – 2ab = 0 then the point of concurrency of family of straight lines ax + by + c = 0lies on the line –
All chords of the curve 3x2 – y2 –2x + 4y = 0 that subtends a right angle at the origin, pass through a fixed point whose co-ordinate is –
In a triangle ABC, and point A lies on line y = 2x + 3 where Area of is such that [âˆ†] = 5. Possible co-ordinates of âˆ† is/are –
Find the area of the quadrilateral with vertices (3, 3), (1, 4), (–2, 1), (2, –3).