The quadratic equation 2x2 – √5x + 1 = 0 has
(A) two distinct real roots
(B) two equal real roots
(C) no real roots
(D) more than 2 real roots
1 Answers
Talk Doctor Online in Bissoy App
Using the number line, write the integer which is (a) 4 more than –5 (b) 3 less than 2 (c) 2 less than –2
(a) – 1 (b) – 1 (c) – 4
1 Answers 1 views
In a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?
Yes, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle.
1 Answers 1 views
Values of k for which the quadratic equation 2x^2 – kx + k = 0 has equal roots is
Correct answer is (D) 0, 8
1 Answers 1 views
(x^2 + 1)^2 – x^2 = 0 has (A) four real roots (B) two real roots (C) no real roots (D) one real root.
Correct answer is (C) no real roots
1 Answers 1 views
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...
1 Answers 1 views
(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...
1 Answers 1 views
A quadratic equation with integral coefficient has integral roots. Justify your answer.
x2–3x + 1 = 0 is an equation with integral coefficients but its roots are not integers.
1 Answers 1 views
The contra positive of the statement “If 7 is greater than 5, then 8 is greater than 6” is (a) If 8 is greater than 6, then 7 is greater than 5
(c) Letp: 7 is greater than 5. and q: 8 is greater than 6. ∴P→ q ~p: 7 is not greater than 5. ~q: 8 is not greater than 6. (~q) → (~p) i.e., if...
1 Answers 1 views
The present age of a man is 2 years more than five times the age of his son. Two years hence, the man’s age will be 8 years more than
Let the man’s present age be x years. Let his son’s present age be y years. According to the question, we have: Two years ago: Age of the man = Five times the age...
1 Answers 1 views
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...
1 Answers 1 views