Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2009MathematicsParabolaActual

The line (3 x-4 y+7=0 ) is rotated through an angle ( 4 ) in the clockwise direction about the point ((-1,1) ). The equation of the line in its new position is

Options

  1. A(7 y+x-6=0 )
  2. B(7 y-x-6=0 )
  3. C(7 y+x+6=0 )
  4. D(7 y-x+6=0 )

Correct answer

A. (7 y+x-6=0 )

Step-by-step solution

As ((-1,1) ) is a point on (3 x-4 y+7=0 ), the rotation is possible. Slope of the given line (=3 / 4 ). Slope of the line in its new position (= 3 4 -1 1+ 3 4 =- 1 7 ) The required equation is ( y -1=- 1 7 ( x +1) or 7 y + x -6=0 )

Practice Parabola on Quantrex Academy →

More from Parabola

If the focus of parabola (y-k)^2=4(x-h) always lies between the lines x+y=1 and x+y=3 then 2024Let L₁ be the length of the common chord of the curves x^2+y^2=9 and y^2=8 x , and L₂ be the length of the latus rectum of y^2=8 x , then: 2024If vertex of a parabola is (2,-1) and the equation of its directrix is 4 x-3 y=21 , then the length of its latus rectum is 2023The equation of a common tangent to the parabolas y=x^2 and y=-(x-2)^2 is 2023If the straight line y=m x+c touches the parabola y^2-4 a x+4 a^3=0 , then c is 2022A normal is drawn at the point P to the parabola y^2=8 x , which is inclined at 60^ with the straight line y=8 . Then the point P lies on the straight line 2022The length of the latus rectum of the parabola which has focus at (-1,1) and the directrix is 4 x +3 y-24=0 is 2020Suppose a parabola y = a x 2 + b x + c has two x intercepts, one positive and one negative, and its vertex is ( 2 , - 2 ) , then which of the following is true? 2019 Full Parabola list All BITSAT PYQs