1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

A quadratic equation is given by (a + b) x2 - (a + b + c) x + k = 0, where a, b, c are real.

If $\rm {k}=\frac{{c}}{2},({c} \neq 0)$, then the roots of the equation are :
A
Real and equal
B
Real and unequal
C
Real iff a > c
D
Complex but not real
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

A quadratic equation is given by (a + b) x2 - (a + b + c) x + k = 0, where a, b, c are real.

If k = c, then the roots of the equation are:
A
$ \frac{a+c}{a+b}$ and $\frac{b}{a+b}$
B
$ \frac{a+c}{a+b} $ and $-\frac{b}{a+b} $
C
1 and $ \frac{c}{a+b}$
D
-1 and $-\frac{c}{a+b}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
For how many integral values of k, the equation x2 - 4x + k = 0, where k is an integer has real roots and both of them lie in the interval (0, 5) ? 
A
3
B
4
C
5
D
6
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many real numbers satisfy the equation |x - 4| + |x - 7| = 15 ?
A
Only one 
B
Only two 
C
Only three
D
Infinitely many
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