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    Question

    Which of the following is the condition where two lines

    ax + by + c = 0 and Ix + my + n = 0 will have infinite solutions?┬а
    A 1 Correct Answer Incorrect Answer
    B 2 Correct Answer Incorrect Answer
    C 3 Correct Answer Incorrect Answer
    D 4 Correct Answer Incorrect Answer

    Solution

    For two lines represented by the equations ax + by +c=0 and lx+my+n=0 to have infinite solutions, they must be coincident, meaning one line is a scalar multiple of the other. This condition is fulfilled when the ratios of the coefficients of x, y, and the constant term are equal: a/l=b /m= c/ n So option 4 is right.

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