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A : Equation of the line passing through...

A : Equation of the line passing through (-2, 3) and parallel to `3x-4y+7=0` is `3x-4y+18=0`.
R : Equation of the line passing through `(x_(1), y_(1))` and parallel to `ax+by+c=0` is `a(x-x_(1))+b(y-y_(1))=0`

A

A, R are correct, R is correct explaination of A

B

A, R are correct, R is not correct explanation of A

C

A is true, R is false

D

A is false, R is true

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A
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Knowledge Check

  • A : Equation of the line passing through (3, -4) and perpendicular to 2x+3y+7=0 is 3x-2y-17=0 . R : Equation of the line passing through (x_(1), y_(1)) and perpendicular to ax+by+c=0 is b(x-x_(1))-a(y-y_(1))=0

    A
    A, R are correct, R is correct explaination of A
    B
    A, R are correct, R is not correct explanation of A
    C
    A is true, R is false
    D
    A is false, R is true

  • Equation of a line passing through (1,-2, 3) and parallel to the plane 2x+3y+z+5 = 0 is

    A
    `(x-1)/(-1)=(y+2)/(1)=(z-3)/(-1)`
    B
    `(x-1)/(2)=(y+2)/(3)=(z-3)/(1)`
    C
    `(x+1)/(-1)=(y-2)/(1)=(z-3)/(-1)`
    D
    none

  • A : The equation of the line passing through (1, 2) with slope 2//5 is 2x-5y+8=0 R : The equation of the line passing through (x_(1), y_(1)) with slope m is y-y_(1)=m(x-x_(1))

    A
    A, R are correct, R is correct explaination of A
    B
    A, R are correct, R is not correct explanation of A
    C
    A is true, R is false
    D
    A is false, R is true

    • Similar Questions

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    The equation of the pair of lines passing through (1,-1) and parallel to the pair of lines x^(2)-y^(2)=0 is

    The equation of the plane passing through the point (-2,-1,-3) and parallel to the plane 2x+y+z-9=0 is

    Equation of a line passing through (-1, 2, -3) and perpendicular to the plane 2x + 3y + z + 5=0 is

    A: The equation of the plane passing through the point (- 1, 2, 4) and parallel to the plane 2x + 3y – 5z +6=0 is 2x + 3y - 5z + 16 = 0. R: The equation of the plane passing through the point (x_1, y_1, z_1) and parallel to the plane ax + by + cz +d=0 is a(x – x_1) + b(y-y_1) + c(z - z_1) = 0

    The equation of the line passing through (1, 1) and makes an angle pi//4 with the line 2x-y+7=0 is

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