Assertion (A): A quadratic equation have a root 8 - 3i, then sum of roots of the quadratic equation is 16. Reason (R): If one root of the quadratic equation ax2 + bx + c = 0 (a ≠ 0, a, b, c ≠ R) is 8 - 3i, then other root have to be 8 + 3i.

Question

Assertion (A): A quadratic equation have a root 8 - 3i, then sum of roots of the quadratic equation is 16. Reason (R): If one root of the quadratic equation ax2 + bx + c = 0 (a ≠ 0, a, b, c ≠ R) is 8 - 3i, then other root have to be 8 + 3i. (A) Both (A) (R) are individually true (R) is correct explanation of (A) (B) Both (A) (R) are individually true but (R) is not the correct (proper) explanation of (A) (C) (A) is true but (R) is false (D) (A) is false but (R) is true

Tardigrade Admin · Accepted Answer

Assertion (A) is false, as it is not given that equation has its coefficient real. The equation whose coefficients are real and has one root complex then other root will be its conjugate, so Reason (R) is correct.

Q. Assertion (A) : A quadratic equation have a root $8 - 3 i$ , then sum of roots of the quadratic equation is $16$ .
Reason (R) : If one root of the quadratic equation $a x^{2} + b x + c = 0 (a \neq = 0, a, b, c \neq = R)$ is $8 - 3 i$ , then other root have to be $8 + 3 i$ .

Both (A) & (R) are individually true & (R) is correct explanation of (A)

Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A)

(A) is true but (R) is false

(A) is false but (R) is true

Assertion (A) is false, as it is not given that equation has its coefficient real. The equation whose coefficients are real and has one root complex then other root will be its conjugate, so Reason (R) is correct.

Q. Assertion (A) : A quadratic equation have a root 8−3i, then sum of roots of the quadratic equation is 16. Reason (R) : If one root of the quadratic equation ax2+bx+c=0(a=0,a,b,c=R) is 8−3i, then other root have to be 8+3i.

Both (A) & (R) are individually true & (R) is correct explanation of (A)

Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A)

(A) is true but (R) is false

(A) is false but (R) is true

Assertion (A) is false, as it is not given that equation has its coefficient real. The equation whose coefficients are real and has one root complex then other root will be its conjugate, so Reason (R) is correct.

Q. Assertion (A) : A quadratic equation have a root $8 - 3 i$ , then sum of roots of the quadratic equation is $16$ .
Reason (R) : If one root of the quadratic equation $a x^{2} + b x + c = 0 (a \neq = 0, a, b, c \neq = R)$ is $8 - 3 i$ , then other root have to be $8 + 3 i$ .