Topics

If the roots of the equation \(Ax^{2} \)+\( Bx\)+\( C\) =0 are -1 and 1 then which one of the following is correct?


A) A andC are both zero

B) A and B are both positive

C) A and C are both negative

D) A and C are of opposite sign

Correct Answer:
D) A and C are of opposite sign

Description for Correct answer:
Roots of equation \( \Large Ax^{2} + Bx + C = 0 \) are - 1 and 1

A - B + C= 0 ...(i)

and A + B + C = 0 ...(ii)

From equations (i) and (ii) A + C = 0

A = - C

Hence 'A' and 'C' are of opposite sign.

Part of solved CDS Maths(2) questions and answers : Exams >> CDSE >> CDS Maths(2)




Comments
No comments available




Similar Questions
1). If A and B are any two non-empty subsets of a set E. then what is \( A \cup ( A \cap B) \) equal to?
A). \( A\cap B \)
B). \( A\cup B \)
C). A
D). B
-- View Answer
2). Consider the following in respect of the numbers \( \large \sqrt{2},\sqrt[3]{3},\sqrt[6]{6} \)
1. \( \large\sqrt[6]{6} \)is the greatest number.
2. \( \large\sqrt{2} \)is the smallest number.
Which of the above statements is/are correct?
A). 1 only
B). 2 only
C). Both 1 and 2
D). Neither 1 nor 2
-- View Answer
3). A water pipe is cut into two pieces. The longer piece is 70% of the length of the pipe. By how much percentage is the longer piece longer than the shorter piece?
A). 140%
B). 400/3 %
C). 40 %
D). None of these
-- View Answer
4). The sum of two positive numbers at and y is 2.5 times their difference. If the product of the numbers is 84, then what is the sum of the two numbers?
A). 26
B). 24
C). 22
D). 20
-- View Answer
5). If n is a whole number greater than 1, then \( n^{2}\)\( \left( n^{2}-1\right)\)is always divisible by
A). 12
B). 24
C). 48
D). 60
-- View Answer


6). If the roots of the equation \(\left( a^{2}-bc\right) \)\( x^{2}\)+\( 2\)\( \left( b^{2}-ac\right)x+\left( c^{2} - ab\right)\) are equal, where \( b\)\( \ne\) \( 0\), then which one of the following is correct?
A). \( a\)+\( b\)+\( c\) = \( abc\)
B). \( a^{2}\)+\( b^{2}\)+\( c^{2}\) = \( 0\)
C). \( a^{3}\)+\( b^{3}\)+\( c^{3}\) = \( 0\)
D). \( a^{3}\)+\( b^{3}\)+\( c^{3}\)=\( 3abc\)
-- View Answer
7). What is the remainder when \( 4^{1000}\) is divided by 7?
A). 1
B). 2
C). 4
D). None of these
-- View Answer
8). A, B and C can do a piece of work individually in 8, 12 and 15 days respectively. A and B start working, but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?
A). \( 5\)\( \Large \frac{8}{9} \) days
B). \( 4\)\( \Large \frac{6}{7} \) days
C). \( 6\)\( \Large \frac{7}{13} \) days
D). \( 3\)\( \Large \frac{3}{4} \) days
-- View Answer
9). If \( x\)+\( y\)=\( 5\), \( y\)+\( z\) =\( 10\) and \( z\)+\( x\) =\( 15\), then which one of the following is correct?
A). z>x>y
B). z>y>xa
C). x>y>z
D). x>z>y
-- View Answer
10). On a 20% discount sale, an article costs Rs596. What was the original price of the article?
A). Rs 720
B). Rs 735
C). Rs 745
D). Rs 775
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us