When the axes rotated through an angle `90^(0)`.The equation `5x-2y+7=0` transforms to `pX+qY+r=0` Then `2p+q+r=`

When the axes are rotated through an angle 90° the equation 5x – 2y + 7 = 0 transforms to (A) 2X - 5Y+7=0 (B) 2X + 5Y - 7 = 0 (C) 2x - 5Y – 7=0 (D) 2X + 5Y +7= 0

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

When the axes are translated to the point (5,-2) then the transformed form of the equation xy+2x-5y-11=0 is

If the equation 4x^2+2xy+2y^2 - 1=0 becomes 5X^2+Y^2=1 when the axes are rotated through an angle of t degrees then sum of the digits of t is

The transformed equation of x^(2)+y^(2)=r^(2) when the axes are rotated through an angle 36^(@) is

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

If p,q,r in R and the quadratic equation px^(2)+qx+r=0 has no real root,then

If p, q, r each are positive rational number such tlaht p gt q gt r and the quadratic equation (p + q - 2r)x^(2) + (q + r- 2p)x + (r + p - 2q) = 0 has a root in (-1 , 0) then which of the following statement hold good? (A) (r + p)/(q) lt 2 (B) Both roots of given quadratic are rational (C) The equation px^(2) + 2qx + r = 0 has real and distinct roots (D) The equation px^(2) + 2qx + r = 0 has no real roots