When a system of linear equations has no solution- what does it mean- The lines are parallel-The lines are perpendicular to each other-The lines intersect at a point-The lines coincide-

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Byju's Answer

Standard IX

Mathematics

Inconsistent Pair of LE

When a system...

Question

When a system of linear equations has no solution, what does it mean?

The lines are parallel.

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The lines are perpendicular to each other.

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The lines intersect at a point.

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The lines coincide.

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Solution

The correct option is A
The lines are parallel.

The lines are parallel.

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Similar questions

Q. The graphs of the equations

6 x - 2 y + 9 = 0 and 3 x - y + 12 = 0

are two lines which are

(a) coincident
(b) parallel
(c) intersecting exactly at one point
(d) perpendicular to each other

At what point do the lines of equations 3x + 2y + 5 = 0 and 2x − 3y − 1 = 0 intersects each other? Find one more point on each of these lines. Prove that these lines are perpendicular.

Q. If a pair of linear equations in two variables is consistent, then the lines represented by two equations are

(a) intersecting
(b) parallel
(c) always coincident
(d) intersecting or coincident

Which of the following statements are true (I) and which are false (F)? Give reasons.
(i) If two lines are intersected by a transversal, then corresponding angles are equal.
(ii) If two parallel lines are intersected by a transversal, then alternate interior angles are equal.
(iii) Two lines perpendicular to the same line are perpendicular to each other.
(iv) Two lines parallel to the same line are parallel to each other.
(v) If two parallel lines are intersected by a transversal, then the interior angles on the same side of the transversal are equal.

True or false?

(a) The equation of the x-axis is x = 0.

(b) The line x = 4 is parallel to y-axis

(d) The lines x = y and x = − y are perpendicular to each other.

(e) The lines x = 9 and y = 9 are perpendicular to each other.

(f) The graph of y = x² is a straight line.

(g) The line y = 3x + 4 does not intersect x-axis.

(h) In a rectangular coordinate system, the coordinate axes are chosen such that they form a pair of perpendicular lines.

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When a system of linear equations has no solution, what does it mean?

The correct option is A The lines are parallel. The lines are parallel.

The correct option is A
The lines are parallel.

The lines are parallel.