Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20239 May 2023Morning ShiftMathematicsStraight LinesActual

The distance of a point (2,5) from the line 3 x+y+4=0 measured along the line L ₁ and L ₂ are same. If slope of line L₁ is 3 4 , then slope of the line L ₂ is

Options

  1. A-3 4
  2. B1 3
  3. C1 4
  4. D0

Correct answer

D. 0

Step-by-step solution

According to the given condition, in ABC , AB = AC . ABC is an isosceles triangle. Let m , m ₁, ~m ₂ be the slopes of given line, L ₁ and L ₂ respectively. array ll & m =-3, ~m ₁= 3 4 & | m - m ₁ 1+ mm ₁ |= | m - m ₂ 1+ mm ₂ | & 3= | -3- m ₂ 1+3 ~m ₂ | & m ₂=0 array

Practice Straight Lines on Quantrex Academy →

More from Straight Lines

The locus of the third vertex of a right-angled triangle, the ends of whose hypotenuse are (1,2) and (4,5) , is 2025The coordinate axes are rotated about the origin in the counter clockwise direction through an angle 60^ . If a and b are the intercepts made on the new axes by a straight line who 2025The image of a point (2,-1) with respect to the line x-y+1=0 is 2025If a straight line is at a distance of 10 units from the origin and the perpendicular drawn from the origin to it makes an angle 4 with the negative X -axis in the negative directi 2025A straight line passing through the origin O meets the parallel lines 4 x+2 y=9 and 2 x + y +6=0 at the points P and Q respectively. Then the point O divides the line segment PQ in 2025A (4,3), B (2,5) are two points. If P is a variable point on the same side as that of the origin with respect to the line AB and is at most at a distance of 5 units from the midpoi 2025By shifting the origin to the point (2,3) through translation of axes, if the equation of the curve x^2+3 x y-2 y^2+4 x-y-20=0 is transformed to the form Ax ^2+ Bxy + Cy ^2+ Dx + E 2025The points (2,3) and (-4,- 4 3 ) lie on the opposite sides of the line L 5 x -6 y + k =0 and k is an integer. If the points (1,2) and (4,5) lie on the same side of the line L =0 , 2025 Full Straight Lines list All MHT CET PYQs