The points (other than origin) for which abscissa is equal to the
ordinate will lie in
(A) I quadrant only (B) I and II quadrants
(C) I and III quadrants (D) II and IV quadrants
Find the zeroes of the polynomial in each of the following :
(i) p(x) = x – 4 (ii) g(x) = 3 – 6x
(iii) q(x) = 2x –7 (iv) h(y) = 2y
Give an example of a polynomial, which is :
(i) monomial of degree 1
(ii) binomial of degree 20
(iii) trinomial of degree 2
Write whether the following statements are True or False. Justify your answer.
(i) A binomial can have atmost two terms
(ii) Every polynomial is a binomial
(iii) A binomial may have degree 5
(iv) Zero of a polynomial is always 0
(v) A polynomial cannot have more than one zero
(vi) The degree of the sum of two polynomials each of degree 5 is always 5.
Let x be rational and y be irrational. Is xy necessarily irrational? Justify your answer by an example.
Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an
irrational number? Give an example in support of your answer.
The product of any two irrational numbers is
(A) always an irrational number
(B) always a rational number
(C) always an integer
(D) sometimes rational, sometimes irrational
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