This CAT sample paper consists of quadratic equations questions which are part of the CAT Quantitative section.
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The condition that a root of the equation may be reciprocal to a root of is
The roots of the equation are real and equal if
a+b+c=0
a>b>c
a
a=b=c
If pr = 2(q+s) then among the equations and
at least one has real roots
both have real roots
at least one has imaginary roots
both have imaginary roots
The roots of the equation are
real
real and distinct
imaginary
real and equal
If are the roots of and are the roots of , then the value of is
-2b
a+b
a-b
2b
The harmonic mean of the roots of the equation , is
2
4
6
8
The condition that the roots of are reciprocal to each other is
a+b=0
b=0
a-b=0
a=0
If the equations and have common roots, then the value of k is
1
-2
-1
3
The expression is positive for all real values of x, then
a=3
a>3
a>1
‘a’ can be any real number
If x is real and , then x lies in the interval
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