The roots of the equation (q − r)x2 + (r − p)x + (p − q) = 0 ar

1.	The roots of the equation (q − r)x2 + (r − p)x + (p − q) = 0 are A. (r − p)/(q −r), 1/2 B. (p − q)/(q − r), 1 C. (q − r)/(p − q), 1 D. (r − p)/(p − q), 1/2
Answer» Correct option B. (p − q)/(q − r), 1 Explanation: For any equation of form, ax²+ bx + c = 0, if sum of its coefficients is zero then one of its root is 1 and other will be given by c/a. Sum of the coefficients of given equation = q - r + r - p + p - q = 0 Therefore roots are: 1, p - q/q - r

The roots of the equation (q − r)x2 + (r − p)x + (p − q) = 0 are A. (r − p)/(q −r), 1/2 B. (p − q)/(q − r), 1 C. (q − r)/(p − q), 1 D. (r − p)/(p − q), 1/2

Answer»

Correct option B. (p − q)/(q − r), 1

Explanation:

For any equation of form, ax²+ bx + c = 0, if sum of its coefficients is zero then one of its root is 1 and other will be given by c/a.

Sum of the coefficients of given equation

= q - r + r - p + p - q = 0

Therefore roots are: 1, p - q/q - r

Discussion

No Comment Found

Related InterviewSolutions

If the probability of simultaneous occurrence of two events A and B is p and the probability that exactly one of A, B occurs is q, then which of the following is/are correct? 1. P(bar A) + P(bar B) = 2 - 2p - q2. P(bar A ∩ bar B) = 1 - p - qSelect the correct answer using the code given below: a. 1 only b. 2 only c. Both 1 and 2 d. Neither 1 nor 2
If f(x) = √(x - 1)/(x - 4) defines a function of R, then what is its domain?a. (- ∞, 4) ∪ (4, ∞)b. [4, ∞]c. (1, 4) ∪ (4, ∞)d. [1, 4) ∪ (4, ∞)
What is i1000 + i1001 + i1002 + i1003 equal to (where i = √–1)? a. 0 b. i c. –i d. 1
The binary number expression of the decimal number 31 is a. 1111 b. 10111 c. 11011 d. 11111
It is given that bar X = 10, bar Y = 90, σx = 3, σy = 12 and rxy = 0.8. The regression equation of x on y is A. y = 3.2x + 58 B. x = 3.2y + 58 C. x = −8 + 0.2y D. y= −8 + 0.2x
The angle between the two lines lx + my + n = 0 and l’x + m’y + n’ = 0 is given by tan–1θ . What θ equal to?a. |(lm' - l'm)/(ll' - mm')|b. |(lm' + l'm)/(ll' + mm')|c. |(lm' - l'm)/(ll' + mm')|d. |(lm' + l'm)/(ll' - mm')|
The probabilities that a student will solve Question A and Question B are 0.4 and 0.5 respectively. What is the probability that he solves at least one of the two questions? a. 0.6 b. 0.7 c. 0.8 d. 0.9
The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x − 3y + 7 = 0 and 7x + 4y + 2 = 0 is A. 21x + 46y − 180 = 0 B. 21x − 46y + 96 = 0 C. 46x + 21y − 155 = 0 D. 46x − 21y − 29 = 0
The equation of the plane passing through the line of intersection of the planes x + y + z = 1, 2x + 3y + 4z = 7, and perpendicular to the plane x −5y + 3z = 5 is given by A. x + 2y + 3z −6 = 0 B. x + 2y + 3z +6 = 0 C. 3x + 4y +5z − 8 = 0 D. 3x + 4y + 5z + 8 = 0
What is equation of straight line pass through the point of intersection of the line x/2 + y/3 = 1 and x/3 + y/2 = 1, and parallel the line 4x + 5y – 6 = 0 ? a. 20x + 25y – 54 = 0 b. 25x + 20y – 54 = 0 c. 4x + 5y – 54 = 0 d. 4x + 5y – 45 = 0

The roots of the equation (q − r)x2 + (r − p)x + (p − q) = 0 are A. (r − p)/(q −r), 1/2 B. (p − q)/(q − r), 1 C. (q − r)/(p − q), 1 D. (r − p)/(p − q), 1/2

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment