बिंदुओं (10, - 6) और (k, 4) को मिलाने वाले रेखाखंड का मध्यबिंदु (a, 2b) है। यदि a – 2b = 7 हो, तो k का मान क्या है?

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Answer (Detailed Solution Below)

Option 1 : 2
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संकल्पना:

माना कि A(x1, y1और B(x2, y2), X-Y तल पर कोई दो बिंदु है। मान लीजिए बिंदु C रेखाखंड AB का मध्यबिंदु है, तो बिंदु C का निर्देशांक निम्न है:

 .

गणना:

(10, -6) और (k, 4) का मध्य-बिंदु:

अतः

2b = - 1

दिया हुआ, a – 2b = 7

k = 2

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