The Number Of Straight Lines Equidistant From Three Non-collinear Points In The Plane Of The Points Is Equal To

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The number of straight lines equidistant from three non-collinear points in the plane of the points is equal to


Correct option is


Three non - collinear points form a triangle and the line joining the mid points of any two sides is equidistant from all the three vertices. 



The sine of the angle between the pair of lines represented by the equation x2 – 7xy + 12y2 = 0 is 


The square of the differences of the slopes of the lines represented by the equation x2(sec2θ – sin2θ) – (2xy tan θ + y2 sin2θ = 0) is 


The line joining the origin to the points of intersection of x2 + y2 + 2gx + c = 0 and x2 + y2 + 2fy – c = 0 are at right angles, if


Two of the lines represented by x3 – 6x2y + 3xy2 + dy3 = 0 are perpendicular for   


If pairs of lines 3x2 – 2pxy – 3y2 = 0 and 5x2 – 2qxy – 5y2 = 0 are such that each pair bisects the angle between the other pair, then pq is equal to


The line x + y = 1 meets the line represented by the equation y3 –xy2 – 14x2y + 24x3 = 0 at the points ABC. If O is the origin, then

OA2 + OB2 + OC2 is equal to    


If the area of the triangle formed by the pair of lines 8x2 – 6xy + y2 = 0 and the line 2x + 3y = a is 7, then a is equal to



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


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)