Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2019 · Mathematics · Quadratic Equation

The number of real roots for the equation x^2+9|x|+20=0 is

The number of real roots for the equation x2+9∣x∣+20=0x^2+9|x|+20=0 is

Options

  1. AZero
  2. BOne
  3. CTwo
  4. DThree

Correct answer

A. Zero

Step-by-step solution

x2+9∣x∣+20=0x^2+9|x|+20=0 The sum of three positive quantities can never be zero. So, the equation has no solution.
Practice Quadratic Equation on Quantrex Academy →

More from Quadratic Equation

For a given k , what is the minimum value of x^2+kx+k^2 ? NDA 2026If the highest degree coefficient is equal to 1 , then what is the total number of… NDA 2026Let α and β be the roots of the quadratic equation x^2-2bx+c^2=0 where b , c are positive… NDA 2026Consider the following statements : I. x + x+1=0 has two irrational roots. II. 5 x -x-4=0… NDA 2026For the following two (02) items: Let f(x) = ax^2 + bx + c be a quadratic polynomial such… NDA 2025For the following two (02) items: Let α and β be the roots of the quadratic equation x^2… NDA 2025For the following two (02) items: Let f(x) = ax^2 + bx + c be a quadratic polynomial such… NDA 2025If one root of the equation x^2 - kx + k = 0 exceeds the other by 2 3 , then which one of… NDA 2025For the following two (02) items: Let α and β be the roots of the quadratic equation x^2… NDA 2025If x = (1111)_2 , y = (1001)_2 and z = (110)_2 , then what is x^3 - y^3 - z^3 - 3xyz… NDA 2025If x^2 - x + 1 = 0 , then what is (x - (1)/(x))^2 + (x - (1)/(x))^4 + (x - (1)/(x))^8… NDA 2025If x + (5)/(y) = 4 and y + (5)/(x) = -4 , then what is (x + y) equal to? NDA 2025For the following two (02) items: Consider the equation abx^2 + bcx + ca = cax^2 + abx +… NDA 2025For the following two (02) items: Consider the equation abx^2 + bcx + ca = cax^2 + abx +… NDA 2025If n is a root of the equation x^2+p x+m=0 and m is a root of the equation x^2+p x+n=0… NDA 2024The roots of the equation 7 x^2-6 x+1=0 are α and β , where 2 α and 2 β are the angles of… NDA 2024 Full Quadratic Equation list Quadratic Equation JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs