of its height.
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is
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and HCF of (p, q) = 1, then p × q = ?
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Match the division of polynomials given in Column-I with their corresponding quotients given in Column-II.
| Column-I | Column-II | |
|---|---|---|
| (p) | (64y4 + 8y3) ÷ 4y3 | (i) (x - 3) |
| (q) | (10x2 + 3x - 27) ÷ (2x - 3) | (ii) 2(8y + 1) |
| (r) | (x2 + 4x - 21) ÷ (x + 7) | (iii) (x - 4) |
| (s) | (2x2 - 11x + 12) ÷ (2x - 3) | (iv) (5x + 9) |
A(p) → (iv); (q) → (ii); (r) → (i); (s) → (iii)
B(p) → (ii); (q) → (i); (r) → (iii); (s) → (iv)
C(p) → (ii); (q) → (iv); (r) → (i); (s) → (iii)
D(p) → (i); (q) → (ii); (r) → (iv); (s) → (iii)
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Fill in the blanks and select the CORRECT option.
(i) When two negative integers are added, we get a __(P)__ integer.
(ii) The number of integers between –16 and –2 is __(Q)__.
(iii) When two __(R)__ integers are added, we get a positive integer.
| (P) | (Q) | (R) | |
|---|---|---|---|
| A | Negative | 12 | negative |
| B | Positive | 10 | positive |
| C | Negative | 13 | positive |
| D | Positive | 14 | negative |