English

Every quadratic equations has at most two roots.

Advertisements
Advertisements

Question

Every quadratic equations has at most two roots.

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is True.

Explanation:

Because every quadratic polynomial has almost two roots.

shaalaa.com
  Is there an error in this question or solution?
Chapter 4: Quadatric Euation - Exercise 4.2 [Page 38]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 2.(iv) | Page 38

RELATED QUESTIONS

Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0


Find the values of k for which the quadratic equation (3k + 1) x2 + 2(k + 1) x + 1 = 0 has equal roots. Also, find the roots.


Determine the nature of the roots of the following quadratic equation:

`3x^2-2sqrt6x+2=0`


Find the value of k for which the roots are real and equal in the following equation:

3x2 − 5x + 2k = 0


Find the values of k for which the roots are real and equal in each of the following equation:

(4 - k)x2 + (2k + 4)x + 8k + 1 = 0


In the following determine the set of values of k for which the given quadratic equation has real roots:

2x2 + kx + 2 = 0


Show that the equation 2(a2 + b2)x2 + 2(a + b)x + 1 = 0 has no real roots, when a ≠ b.


What is the nature of roots of the quadratic equation 4x2 – 12x – 9 = 0?


Determine the nature of the roots of the following quadratic equation : 

x2 -5x+ 7= 0


Solve the following quadratic equation using formula method only 

3x2 + 12 = 32 x


Find the value (s) of k for which each of the following quadratic equation has equal roots : (k – 4) x2 + 2(k – 4) x + 4 = 0


Find the values of p for which the equation 3x2 – px + 5 = 0 has real roots.


If `(1)/(2)` is a root of the equation `x^2 + kx - (5)/(4) = 0`, then the value of k is ______.


Which of the following equations has no real roots?


Find the value(s) of k for which each of the following quadratic equation has equal roots: (k + 4)x2 + (k + 1)x + 1 =0 Also, find the roots for that value (s) of k in each case.


Find the nature of the roots of the quadratic equation:

4x2 – 5x – 1 = 0


If α, β are roots of the equation x2 + px – q = 0 and γ, δ are roots of x2 + px + r = 0, then the value of (α – y)(α – δ) is ______.


If b and c are odd integers, then the equation x2 + bx + c = 0 has ______.


Statement A (Assertion): If 5 + `sqrt(7)` is a root of a quadratic equation with rational co-efficients, then its other root is 5 – `sqrt(7)`.

Statement R (Reason): Surd roots of a quadratic equation with rational co-efficients occur in conjugate pairs.


The nature of roots of the quadratic equation 9x2 – 6x – 2 = 0 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×