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Find the value of P if the straight lines x + P = 0, y + 2 = 0, 3x + 2y + 5 = 0 are concurrent. |
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Answer» Given straight line equations are x + P = 0 ...... (1) y + 2 = 0 ⇒ y = –2 ...... (2) 3x + 2y + 5 = 0 ....... (3) Solving (2) & (3) 3x + 2(–2) + 5 = 0 ⇒ 3x + 1 = 0 ⇒ x = −1/3 Point of intersection of (2) & (3) is (−1/3, - 2) Since (1), (2), (3) are concurrent This point lies on (1) ⇒ −1/3 + P = 0 ⇒ P = 1/3 |
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