CAT 1996 Question Paper Question 37

Question 37

The points of intersection of three lines $$2x+3y-5=0, 5x-7y+2=0$$ and $$9x-5y-4=0$$

Solution

For points to be coincident, value of determinant should not be equal zero, so that they have a unique value of system.

Here value of determinant is not equal to zero, simultaneously not any two lines are parallel or perpendicular.

So system has a unique value

Hence points are coincident.

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