Question:medium

If the roots of the equation px² + x + r = 0 are reciprocal to each other, then which one of the following is correct?

Updated On: Nov 25, 2025

p = 2r
p = r
2p = r
p = 4r

Top Questions on Quadratic Equation

If the quadratic equation \( ax^2 + bx + c = 0 \) (\( a > 0 \)) has two roots \( \alpha \) and \( \beta \) such that \( \alpha < -2 \) and \( \beta > 2 \), then:
- WBJEE - 2024
- Mathematics
- Quadratic Equation
View Solution
If \(\alpha, \beta\) are the roots of the equation \(ax^2 + bx + c = 0\), then:
\[ \lim_{x \to \beta} \frac{1 - \cos(ax^2 + bx + c)}{(x - \beta)^2} \]
- WBJEE - 2024
- Mathematics
- Quadratic Equation
View Solution
The equation \(2x^5 + 5x = 3x^3 + 4x^4\) has:
- WBJEE - 2024
- Mathematics
- Quadratic Equation
View Solution
If \(U_n (n = 1, 2)\) denotes the \(n\)-th derivative (\(n = 1, 2\)) of \(U(x) = \frac{Lx + M}{x^2 - 2Bx + C}\) (\(L, M, B, C\) are constants), then \(PU_2 + QU_1 + RU = 0\) holds for:
- WBJEE - 2024
- Mathematics
- Quadratic Equation
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in CMAT exam

A "Febian Entrepreneur" is a term used to describe a type of entrepreneur who focuses on gradual and steady growth rather than rapid scaling. Which of the following best describes the approach of a Febian Entrepreneur?

CMAT - 2025
Current Affairs

View Solution

The Lean Startup methodology, popularized by Eric Ries, emphasizes a cycle of building, measuring, and learning to create successful products efficiently. Which of the following is a key principle of the Lean Startup approach?

CMAT - 2025
Current Affairs

View Solution

Dudhwa National Park, known for its rich biodiversity and tiger conservation efforts, is located in which Indian state?

CMAT - 2025
Current Affairs

View Solution

The first CDS (Chief of Defence Staff) of India was appointed to enhance coordination and integration among the three branches of the Indian Armed Forces. Who was the first CDS of India?

CMAT - 2025
Current Affairs

View Solution