1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the equation abx² + bcx + ca = cax² + abx + bc
If the roots of the equation are equal, then which one of the following is correct?
1
$ac = b ^ 2 $
2
a + c = 2b
3
$\frac{1}{a}+\frac{1}{c}=\frac{1}{2b}$
4
$\frac{1}{a}+\frac{1}{c}=\frac{2}{b}$
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the equation abx² + bcx + ca = cax² + abx + bc
If the roots of the equation are equal, then a, b, c are in
1
AP
2
GP
3
HP
4
None of the above
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let $f(x) = a x ^ 2 + bx + c$ be a quadratic polynomial such that f(1) = f(4) = 2 Further, 2 is a root of f(x) = 0
What is the other root of f(x) = 0
1
1
2
2
3
3
4
Cannot be determined
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Let $f(x) = a x ^ 2 + bx + c$ be a quadratic polynomial such that f(1) = f(4) = 2 Further, 2 is a root of f(x) = 0
What is (a + b + c) equal to?
1
0
2
1
3
2
4
Cannot be determined