Easy 677 likes

Question

Under which condition the quadratic equation ax2 + bx + c = 0 (a ≠ 0) have one zero roots.

WBBSE Class X Mathematics Quadratic Equation With One Variable 01 Mark 2023

Answer

The condition for the quadratic equation ax² + bx + c = 0 to have one zero root is:

b ≠ 0 and c = 0.

Related Questions

More WBBSE Easy level questions

1/12
Easy
885
Q. Number of solutions of equation x2 =  x is (a) 1 (b) 2 (c) 0...
A. (b) 2 Explanation x2 = x or, x2 - x = 0...
Easy
838
Q. If the sum of the roots of the equation ax2 + bx + ac =...
A. Sum of roots = -b/a ⇒ -b/a = 0 ⇒ b =...
Easy
836
Q. If one root of the equation ax²+abcx+bc = 0 (a≠0) is reciprocal to the other,...
A. (d) a = bc Explanation: Let the roots be α and Product...
Easy
791
Q. State True or False: The two roots of the equation x² = 100 are ±10.
A. True Explanation: x² = 100 ⇒ x = √100 = ± 10...
Easy
839
Q. Solve: (x + 3)/(x – 3) + (x – 3)/(x + 3) = 2(1/2), (x...
A. + = . = . ⇒ = ⇒ = ⇒ = ⇒...
Easy
761
Q. If the roots of the equation x² − 22x + 105 = 0 are α...
A. For ax² + bx + c = 0, sum of roots α...
Easy
545
Q. Find the value of a, if one root of the equation 2x² + ax +...
A. Substitute in 2x² + ax + 8 = 0: 2(1)² + a(1)...
Easy
850
Q. Form the quadratic equation whose roots are −4 and 3.
A. Sum of roots = −4 + 3 = −1 Product of roots...
Easy
676
Q. Find out the ratio of the sum and the product of two roots of the...
A. Sum of roots (α + β) = Produt of root (α β)...
Moderate
752
Q. If the price of 1 dozen pens is reduced by ₹ 6, then 3 more...
A. Let the price of 1 dozen pen at present is ₹ x...
Moderate
879
Q. Solve: \frac{x-3}{x+3}\frac{x+3}{x-3} + 6 \frac{6}{7} = 0
A. + = 0 or, - + = 0 or, -84x + 48x²...
Moderate
632
Q. If the sum of the roots of the equation x² – x = k(2x –...
A. x² - x = k(2x - 1) or, x² - x =...