Q31 of 40 Page 1

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are given by 2 y-x=8,5 y-x=14 and y-2 x=1

OR


If 4 is a zero of the cubic polynomial x3-3 x2-10 x+24, find its other two zeroes.


2y -x=8

5y-x =14



y-2x = 1




Vertices of triangle are (2,5) , (1,3) and (-4,2)


OR


is a zero of


is a factor of x3 – 3x2 – 10 x + 24


Now









Zero are x = 4, x = 2 and x = -3


More from this chapter

All 40 →
29

Find the area of triangle PQR formed by the points P(-5,7), Q(-4,-5) and R(4,5)

OR


If the point C(-1,2) divides internally the line segment joining A(2,5) and B(x, y) in the ratio 3: 4, find the coordinates of B.


 30

Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial f(x)=a x2+bx + c, a ≠ 0, c ≠ 0

OR


Divide the polynomial f(x)=3 x2-x3-3 x+5 by the polynomial g(x)=x-1-x2 and verify the division algorithm.


 32

A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the original speed of the train.

 33

Prove that the parallelogram circumscribing a circle is a rhombus.