All Exams Test series for 1 year @ ₹349 only
Question

If one root of the equation x² - kx + k = 0 exceeds the other by 2√3, then which one of the following is a value of k?

This question was previously asked in
NDA 2 2025 GAT Question Paper (14-Sep-2025)
The correct answer is

6

Using the quadratic formula and the condition that the difference between the roots is 2√3, we solve for k = 6.

Was this answer helpful?

Similar Questions

  1. If \( k < (\sqrt{2} + 1)^3 < k + 2 \), where \( k \) is a natural number, then what is the value of \( k \)?

  2. If x + \frac{5}{y} = 4 and y + \frac{5}{x} = -4, then what is (x + y) equal to?


Important Questions from Algebra

  1. In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

    I. x2 – 26x + 165 = 0

    II. y2 – 38y + 357 = 0

  2. Factorize the following:

    (x 2- 6xy + 9y 2) - 25

  3. If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that

    AP = PQ = QB, then the mid point of PQ is 

  4. If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?

  5. If 3x + 2y = 15, and xy = 6. Find the value of (3x3/2) + (4y3/9).

Need Expert Advice?
Test Series
NDA img
Defence
NDA 2026 Mock Test Series (Latest Pattern)
503 Tests 1 Tests Free
1066 Attempts
4.6(137)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App