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Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If α,β, γ are the zeroes of x^{3}  2x^{2 }+ qx  r and α + β = 0 , then 2q = r.
Reason : If α,β, γ are the zeroes of ax^{3} + bx^{2 }+ cx + d , then
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : P(x) = 4x^{3} – x^{2} + 5x^{4} + 3x – 2 is a polynomial of degree 3.
Reason : The highest power of x in the polynomial P(x) is the degree of the polynomial.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion (A): If the zeroes of a quadratic polynomial ax2 + bx + c are both positive, then a, b and c all have the same sign.
Reason (R): If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : (2  √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).
Reason : Irrational zeros (roots) always occurs in pairs.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : x^{3} + x has only one real zero.
Reason : A polynomial of nth degree must have n real zeroes.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion (A): The value of k for which the quadratic polynomial kx^{2} + x + k has equal zeroes are ± 1/2.
Reason (R): If all the three zeroes of a cubic polynomial x^{3} + ax^{2} – bx + c are positive, then at least one of a, b and c is nonnegative.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : Zeroes of f(x) = x^{2}  4x  5 are 5,  1
Reason : The polynomial whose zeroes are 2 + √3, 2  √3 is x^{2}  4x + 7.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : If one zero of polynominal p(x) = (k^{2} + 4)x^{2} + 13x + 4k is reciprocal of other, then k = 2.
Reason : If (x – a) is a factor of p(x), then p(a) = 0 i.e. a is a zero of p(x).
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion (A): The graph of y = p(x), where p(x) is a polynomial in variable x, is as follows:
The number of zeroes of p(x) is 5.
Reason (R): If the graph of a polynomial intersects the xaxis at exactly two points, it need not be a quadratic polynomial.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : x^{2} + 4x + 5 has two zeroes.
Reason : A quadratic polynomial can have at the most two zeroes.
115 videos478 docs129 tests

115 videos478 docs129 tests
