If both the zeroes of a quadratic polynomial `ax^(2) + bx + c` are equal and opposite in sign, then b is

If both the zeros of the quadratic polynomial ax^2 + bx + c are equal and opposite in sign, then find the value of b.

If the zeroes of the quadratic polynomial ax^(2)+bx+c,cne0 are equal,then

If the zeroes of quadratic polynomial are equal in magnitude but opposite in sign, then

Assertion (A): Both zeroes of the quadratic polynomial x^(2)-2kx+2 are equal in magnitude but opposite in sign then value of k is 1/2 . Reason(R):Sum of zeroes of a quadratic polynomial ax^(2)+bx+c is (-b)/a

If the zeroes of the quadratic polynomial ax^(2) +bx +c , where c ne 0 , are equal, then

If the zeroes of the polynomial x^(2)- 2kx +2 are equal in magnitude but opposite in sign, then the vaue of k is

If two zeros of a quadratic polynomial are equal in magnitude but opposite in sign and their product is -25, the polynomial is

If the zeroes of the quadratic polynomial ax^2+bx+c ,where a!=0 and c!=0 are equal then

Are the following statements 'True' or 'False'? Justify your answer. (i) If the zeroes of a quadratic polynomial ax^(2) +bx +c are both positive, then a,b and c all have the same sign. (ii) If the graph of a polynomial intersects the X-axis at only one point, it cannot be a quadratic polynomial. (iii) If the graph of a polynomial intersects the X-axis at exactly two points, it need not ve a quadratic polynomial. (iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms. (v) If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign. (vi) If all three zeroes of a cubic polynomial x^(3) +ax^(2) - bx +c are positive, then atleast one of a,b and c is non-negative. (vii) The only value of k for which the quadratic polynomial kx^(2) +x +k has equal zeroes is (1)/(2) .

If one of the zeroes of the quadratic polynomial ax^(2) + bx + c is 0, then the other zero is