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The side AB,BC,CD and DA of a quadrilate...

The side AB,BC,CD and DA of a quadrilateral are `x+2y=3, x=1, x-3y=4, 5x+ y+12=0` respectively. The angle between diagonas AC and BC is

A

`45^(@)`

B

`60^(@)`

C

`90^(@)`

D

`30^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The sides AB,BC,CD and DA of a quadrilateral are x+2y=3,x=1,x-3y=4,5x+y+12=0 respectively. The angles between diagonals AC and BD is

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `90^(@)`
    D
    `30^(@)`

  • Let the equations of the sides PQ, QR, RS and SP of a quadrilateral PQRS are x+2y-3=0, x-1=0, x-3y-4=0 and 5x+y+12=0 respectively. If theta is the angle between the diagonals PR and QS, then the value of |tan theta| is equal to

    A
    2
    B
    `-2`
    C
    1
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    Not defined

  • The equations of two equal sides AB and AC of an isosceles triangle ABC are x + y = 5 and 7x - y = 3 respectively. What will be the equation of the side BC if area of triangle ABC is 5 square units.

    A
    x + 3y - 1 = 0
    B
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    C
    2x - y = 5
    D
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