# Two sides of a rhombus are along the lines, x−y+1=0 and 7x−y−5=0.  If its diagonals intersect at (−1, −2), then which one of the following is a vertex of this rhombus ? Option 1) (−3, −9)   Option 2) (−3, −8)   Option 3) Option 4)

As we learnt in

Slope – point from of a straight line -

- wherein

slope

point through which line passes

Point of intersection of AB and AD is

Let C be

and

Slope of

Hence, slope of

equation of

Point  Statistics this line BD

Option 1)

(−3, −9)

Incorrect

Option 2)

(−3, −8)

Incorrect

Option 3)

Correct

Option 4)

Incorrect

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