Tag: plane geometry line and angle

Quizzes (9) Questions (3)

Questions Related to plane geometry line and angle

Multiple choice maths plane geometry line and angle set squares constructing a perpendicular bisector construction of a perpendicular bisector

Two parallel lines have _____ slopes.

  1. opposite

  2. equal

  3. negative

  4. different
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Two parallel lines have equal slopes as they are at the same inclination with the positive direction of X-axis. Also, the coefficients of $x$ and $y$ of two parallel lines are in proportion.

Option $B$ is correct.

Multiple choice maths plane geometry line and angle set squares constructing a perpendicular bisector construction of a perpendicular bisector

In the sides a,b,c of a triangle ABC are in A.P then $\dfrac{b}{c}$ belong to

  1. $(0, \dfrac{2}{3})$
  2. $(1,2)$
  3. $(\dfrac{2}{3}, 2)$
  4. $(\dfrac{2}{3}, \dfrac{7}{3})$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

If a, b, c are in A.P., then 2b = a + c. By triangle inequality, a + c > b, so 2b > b (always true). Also, a + b > c and b + c > a. Substituting a = 2b - c into the inequalities leads to the range for b/c.