Assertion and reason

Exercise and reference answers

Questions

1. Reason

   Its two points share an x value, so the denominator would be zero.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   A vertical line has no slope.

2. Reason

   Otherwise the difference in x is zero and the quotient is undefined.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   The slope formula requires x₁ ≠ x₂.

3. Reason

   Parallel lines have equal slopes.

   Verdict

   The assertion is false and the reason is true.

   Assertion

   Perpendicular lines have equal slopes.

4. Reason

   Equal slopes between successive pairs settle it arithmetically.

   Verdict

   Both are true; the reason explains the assertion.

   Assertion

   Collinearity can be tested without drawing anything.

Explanation