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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 : x^{2} + 4x + 5 has two zeroes.
Reason : A quadratic polynomial can have at the most two 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): If the zeroes of the quadratic polynomial (k – 1) x^{2} + kx + 1 is – 3, then the value of k is 4/3.
Reason (R): If – 1 is a zero of the polynomial p(x) = kx^{2} – 4x + k, then the value of k is –2.
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  α) is a factor of p(x), then p(α) = 0
i.e. α 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 : The graph y = f(x) is shown in figure, for the polynomial f(x). The number of zeros of f(x) is 3.
Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.
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) = 14x^{3}  2x^{2} + 8x^{4} + 7x  8 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 : The graph y = f(x) is shown in figure, for the polynomial f (x). The number of zeros of f(x) is 3.
Reason : The number of zero of the polynomial f(x) is the number of point of which f(x) cuts or touches the axes.
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: Degree of a zero polynomial is not defined.
Reason: Degree of a nonzero constant polynomial is 0
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: The sum and product of the zeros of a quadratic polynomial are and 1/4 respectively.
Then the quadratic polynomial is 4x^{2} + x + 1.
Reason : The quadratic polynomial whose sum and product of zeros are given is x^{2}(sum of zeros). x + product of zeros.
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} + 7x + 12 has no real zeroes.
Reason : A quadratic polynomial can have at the most two zeroes.
115 videos478 docs129 tests

115 videos478 docs129 tests
