Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202122 Sep 2021Morning ShiftMathematicsPair of LinesActual

Area of the triangle formed by the line y^2-9 x y+18 x^2=0 and y=9 is

Options

  1. A27 3 sq. units
  2. B27 2 sq. units
  3. C27 4 sq. units
  4. D27 sq. units

Correct answer

C. 27 4 sq. units

Step-by-step solution

aligned & y^2-9 x y+18 x^2=0 & (y-3 x)(y-6 x)=0 aligned Thus three lines forming triangle are y=3 x, y=6 x, y=9 Their point of intersections are (0,0),(3,9), ( 3 2 , 9 ) Area of triangle = 1 2 3 2 9= 27 4 sq. units

Practice Pair of Lines on Quantrex Academy →

More from Pair of Lines

If the angle made by the lines represented by the equation ax^2 + 2hxy + by^2 = 0 with X-axis are and , then ( + ) is 2026If the equation 16x^2 - 24xy + 9y^2 - 8x + 6y - 35 = 0 represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is.......... 2026If two lines represented by x^2 - (1 + 3 )xy + 3 y^2 = 0 make angles and with the X-axis, then ( + ) is... 2026If the combined equation of angle bisectors of the lines x^2 - 2pxy - y^2 = 0 is x^2 - 2qxy - y^2 = 0 , then which of the following is true? 2026The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by x^2 - 6xy + 5y^2 + 10x - 14y + 9 = 0 is 2026Two lines are given by x^2 - 4xy + 4y^2 + kx - 2ky = 0 , then the value of k so that the distance between them is 3 is 2026If the equation ax^2 + 4xy - 2y^2 + 4x + 8y + 1 = 0 represents a pair of straight lines, then the coordinates of their point of intersection are......... 2026The joint equation of a pair of lines passing through point (1,4) , one of which is parallel to X-axis and the other makes an angle of 45^ with the positive direction of X-axis, is 2026 Full Pair of Lines list All MHT CET PYQs