61 - 62 of 62 Questions
# | Question | Ans |
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61. |
Factorize \( a^2 − b^2 − 4a + 4 \) A. (a + b)(a − b) B. (a − 2 + b)(a - 2- b) C. (a + 1)(a − 2 + b) D. (a + b) 2 Detailed SolutionThe trinomial = \( a^2 − 4a + 4 \\a^2 − b^2− 4a + 4 = (a^2 − 4a + 4) − b^2 \\ (a^2 − 2a − 2a + 4) − b^2 \\ a(a − 2)− 2(a − 2)] − b^2 \\ (a − 2)2 − b^2 \\ (a − 2 + b)(a − 2 − b )\) There is an explanation video available below. |
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62. |
Given that tan x = \(\frac{2}{3}\), where 0o d" x d" 90o, Find the value of 2sinx. A. \(\frac{2\sqrt{13}}{13}\) B. \(\frac{3\sqrt{13}}{13}\) C. \(\frac{4\sqrt{13}}{13}\) D. \(\frac{6\sqrt{13}}{13}\) |
61. |
Factorize \( a^2 − b^2 − 4a + 4 \) A. (a + b)(a − b) B. (a − 2 + b)(a - 2- b) C. (a + 1)(a − 2 + b) D. (a + b) 2 Detailed SolutionThe trinomial = \( a^2 − 4a + 4 \\a^2 − b^2− 4a + 4 = (a^2 − 4a + 4) − b^2 \\ (a^2 − 2a − 2a + 4) − b^2 \\ a(a − 2)− 2(a − 2)] − b^2 \\ (a − 2)2 − b^2 \\ (a − 2 + b)(a − 2 − b )\) There is an explanation video available below. |