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Fixed point through which a family of lines always passes

This type of question, asked 2 times: 16 Apr 2026 S2, 19 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    16 Apr 2026 S2

    55
    The line (2+k)x+(1+k)y=5+7k(2 + k)x + (1 + k)y = 5 + 7k passes through the fixed point for different values of k. If 'd' is the distance of a fixed point from the origin, then d2=…d^2 = \ldots

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  2. Question 2

    19 Apr 2026 S2

    54
    The family of straight lines 4ax+3by+c=04ax + 3by + c = 0 such that a+b+c=0a + b + c = 0 (where a, b, c are real constants) are concurrent at the point...

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