The roots of the equation `ax^(2)+bx+c=0` will be reciprocal of each o – InterviewSolution

InterviewSolution

1.	The roots of the equation `ax^(2)+bx+c=0` will be reciprocal of each other ifA. a=bB. b=cC. c=aD. None of these
Answer» Correct Answer - C Product of roots `=(c)/(a)." Also,"(alphaxx(1)/(alpha))=1.` `:." "(c)/(a)=1impliesc=a.`

Discussion

No Comment Found

Related InterviewSolutions

The diagonal of a rectangular field 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides the field.
The roots of `x^(2)+kx+k=0` are real and equal, find k.
A peacock is sitting on the top of a pillar, which is 9m high. From a point 27m away from the bottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake the peacock pounces on it. If their speeds are equal, at what distance from the whole is the snake caught?
Find the value of `k`, so that the equation `2x^2+kx-5=0` and `x^2-3x-4=0` may have one root in common.
Solve each of the following equations by using the method of completing the square: `x^(2)-4x+1=0`
What is the value of k for which the quadratic equation `3x^(2) - kx+ k = 0 ` has equal roots ?A. 3B. 6C. 9D. 12
If one of the roots of the quadratic equation `kx^(2) + 2x-8=0` is -2, then what is the value of k ?A. 2B. 3C. 1D. 4
Solve each of the following equations by using the method of completing the square: `x^(2)+8x-2=0`
Solve each of the following quadratic equations: `x^(2)=18x-77`
`3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11 ; x!=3/5,-1/7`