(x2 + 1)2 – x2 = 0 has
(A) four real roots (B) two real roots
(C) no real roots (D) one real root.
1 Answers
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If X and Y are two sets such that X ∪Y has 18 elements, X has 8 elements and Y has 15 elements;
It is given that: n(X ∪Y) = 18, n(X)=8, n(Y) = 15 n(X ïf ? Y) = ? We know that: n(X ∪Y)=n(X)+n(Y)-n(X∩Y) 18=8+15-n(X∩Y) n(X∩Y)=5
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Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
We know that square root of every positive integer will not yield an integer. We know that √4 is 2, which is an integer. But √7 or √10 will give an irrational number. Therefore, we conclude...
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The quadratic equation 2x^2 – √5x + 1 = 0 has (A) two distinct real roots (B) two equal real roots (C) no real roots (D) more than 2 real roots
Correct answer is (C) no real roots
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Which of the following equations has no real roots?
Correct answer is (A) x2 – 4x + 3√2 = 0
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State whether the following quadratic equations have two distinct real roots. Justify your answer.
(i) No, because discriminant = –7 < 0. (ii) Yes, because discriminant = 9 > 0. (iii) No, because discriminant = 0. (iv) Yes, because discriminant = 4 > 0. (v) No, because discriminant...
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(i) Every quadratic equation has exactly one root. (ii) Every quadratic equation has at least one real root.
(i) False, for example : x2 = 1 is a quadratic equation with two roots. (ii) False, for example x2 + 1 = 0 has no real root. (iii) False, for example...
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Imagine one cell (A) has undergone one mitotic division and another cell (B) has completed its meiotic
Cell A: 2 Cell B: 4
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(a) What is a tuber ? Name one stem tuber and one root tuber.
a) A tuber is the thickened, underground stem (or root) of a plant which is swollen with stored food. Stem tuber: Potato; Root tuber: Sweet potato. (b) Buds
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If quadratic equation x^2 – (m + 1) x + 6 = 0 has one root as x = 3; find the value of m and the other root of the equation.
x2 – (m + 1)x + 6 = 0 Put x = 3 in the given equation (3)2 – (m + 1) (3) + 6 = 0 ⟹ 9 – 3m – 3...
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Two sets A and B of four bulbs each are glowing in two separate rooms. When one of the bulbs in set A is fused
In set A, the bulbs are connected in series. Thus, when the fuse of one bulb blows off, the circuit gets broken and current does not flow through the other...
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