InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The points (x, 2) is equidistant from (8, -2) and (2, -2). Find the value of x. |
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Answer» Let A = (2, 2) B = (8, -2) C = (2, -2) By data AB = AC = AB2 = AC2 ⇒ (8 – x)2 + (-2 -2)2 = (x – 2)2 + (2 + 2)2 64 + x2 + 16x + 16 = x2 + 4 - 4x + 16 -16x + 4x = 4 -64 ⇒ – 12x = -60 ∴ x = 5 |
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| 2. |
Find the reflection of (-4, 3) through x-axis, y-axis and through the centre. |
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Answer» Reflection through x – axis → (-4, – 3) Reflection through y – axis → (4,3) Reflection through center → (4, -3) |
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| 3. |
Find ‘a’ if the distance between the points (a, 2) and (3, 4) is V8 units. |
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Answer» Let P = (a, 2) and Q = (3, 4) By data |PQ| = √8 ⇒ √8 = √((3 - a)2 + (4 - 2)2) ⇒ 8 = (3 – a)2 + 22 = 8 ⇒ 9 + a2 – 6a + 4 ⇒ a2 – 6a + 5 = 0 ⇒ (a – 5)(a – 1) = 0 ⇒ a = 5 or a = 1 |
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