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Simultaneous Linear Equations

If a pair of ...

Question

If a pair of lines intersect at a point, then find the number of solutions.

A

A unique solution

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B

Infinitely many solutions

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C

No Solution

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D

None of the above

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Solution

The correct option is A A unique solution
If a pair of lines intersect at a point, then the lines are intersecting and hence there is a unique solution.

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Q. If a pair of lines do not intersect at a point, then find the number of solutions.

Q. If a pair of lines are coincident, then find the number of solutions.

Q. If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is .................

Q. STATEMENT - 1 : If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is consistent.
STATEMENT - 2 : If the lines are parallel, then the pair of equations has no solution. In this case, the pair of equations is inconsistent.

Q. Maximum and minimum number of points of intersection of three lines are A and B respectively. Find A+B if no pair of lines is parallel.

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