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Point of intersection of the lines represented by a second-degree equation

This type of question, asked 5 times: 11 Apr 2026 S1, 13 Apr 2026 S2, 17 Apr 2026 S2, 18 Apr 2026 S2, 13 May 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    11 Apr 2026 S1

    57
    If the equation x2−ky2−4x+6y−5=0x^2 - ky^2 - 4x + 6y - 5 = 0 represents a pair of straight lines, then their point of intersection is

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  2. Question 2

    13 Apr 2026 S2

    57
    If the equation kx2−5xy+6y2+x−3y=0kx^2 - 5xy + 6y^2 + x - 3y = 0 represents a pair of straight lines, then the co-ordinates of their point of intersection are

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  3. Question 3

    17 Apr 2026 S2

    55
    If the equation ax2+4xy−2y2+4x+8y+1=0ax^2 + 4xy - 2y^2 + 4x + 8y + 1 = 0 represents a pair of straight lines, then the coordinates of their point of intersection are.........

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  4. Question 4

    18 Apr 2026 S2

    55
    The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by x2−6xy+5y2+10x−14y+9=0x^2 - 6xy + 5y^2 + 10x - 14y + 9 = 0 is …\ldots

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  5. Question 5

    13 May 2026 S1

    59
    If the equation x2−y2−x+λy−2=0x^2 - y^2 - x + \lambda y - 2 = 0 (where λ>0\lambda > 0) represents a pair of lines, then the coordinates of their point of intersection are:

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