Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202015 Oct 2020Morning ShiftMathematicsStraight LinesActual

If the origin is the centroid of the triangle whose vertices are A (2, p ,-3) , B ( q ,-2,5) and C (-5,1, r ) , then

Options

  1. Ap=-1, q=3, r=-2
  2. Bp=1, q=-3, r=-2
  3. Cp=1, q=3, r=2
  4. Dp=1, q=3, r=-2

Correct answer

D. p=1, q=3, r=-2

Step-by-step solution

Origin is centroid of ABC . array l 2+q-5 3 =0 -3+q=0 q=3 p-2+1 3 =0 p-1=0 p=1 -3+5+r 3 =0 2+r=0 r=-2 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