Shifting Of Origin (0, 0) To (h, K)                                            Rotation Of Axes Through An Angle θ.                            1:- By Rotating The Axes Through An Angle θ The Equation xy – Y2 – 3y + 4 = 0 is Transformed To The From Which Does Not Contain The Term Of xy then  ….

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shifting of origin (0, 0) to (h, k)


                  Rotation of axes through an angle θ.


1:- by rotating the axes through an angle θ the equation xy – y2 – 3+ 4 = 0 is transformed to the from which does not contain the term of xy then  ….


Correct option is

The transformed equation is


The coefficient of xy is 




One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is


A point equidistant from the lines 4x + 3y + 10 = 0, 5x – 12y + 26 = 0 and 7x + 24y – 50 = 0 is


Let P = (–1, 0), Q = (0, 0) and  be three points. Then the equation of the bisector of the angle PQR is


Area of Δ formed by line x + y = 3 and  bisectors of pair of straight lines x2 – y2 +2y = 1is


The equation of the straight line which passes through the point (1, –2) and cuts off equal intercepts from the axes will be


The three lines 3x + 4y + 6 = 0,  and 4x + 7y + 8 = 0 are


The line (p + 2q)x + (p – 3q)y = p – q for different values of p and qpasses through the point


The locus of the mid-point of te portion intercepted between the axes by the line  where is constant is


The straight line passing through the point of intersection of the straight lines x – 3y + 1 = 0 and 2x + 5y – 9 = 0 and having infinite slope and at a distance 2 unit from the origin has the equation


Axes are rotating through a +ive obtuse angle θ so that the transformed equation of the curve 3x2 – 6xy + 3y2 + 7– 3 = 0 is free from the term of xy then the coefficient of x2 in the transformed equation is…