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If are the roots of the quadratic equation such that and the vertices of a triangle are ,then the triangle is
detailed solution
Correct option is C
The roots of the equation x2−5x+6=0 are α=2,β=3The vertices of triangle areA3,5,−2,B2,3,5,C−1,3,2The distance between two points Ax1,y1,z1 and Bx2,y2,z2 isAB=x2−x12+y2−y12+z2−z12Hence, the sides of the triangle are AB=1+4+49=54BC=9+0+9=18CA=16+4+16=36Observing the lengths of sides of the triangle one is square of the sum of the squares of the other twoHence the triangle is right angle triangle.Talk to our academic expert!
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The equation of motion of a point in space is where ‘t’ is measured in hours and the coordinates of moving point in kilometers. The distance of the point from the starting point O (0,0,0) at the end of 10hours is
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