State whether the two lines in the following are parallel, perpen… - Vidyadip

Question

State whether the two lines in the following are parallel, perpendicular or neither. Through (3, 15) and (16, 6); through (-5, 3) and (8, 2)

✓

Answer

Slope of line joining (3, 15) and (16, 6) $\text{m}_1=\frac{6-5}{16-3}=\frac{-9}{13}$ Slope of the line joining (-5, 3) and (8, 2)f$\text{m}_2=\frac{2-3}{8-(-5)}=\frac{-1}{13}$
Here, neither $m_1 = m_2$ nor $m_1 \times m_2 = -1 \therefore$ The lines are neither parallel nor perpendicular.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 1 marks)" from The Straight Lines→The Straight Lines — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Write the equation of the parabola whose vertex is at (-3, 0) and the directrix is x + 5 = 0.

If the sum of n terms of an A.P., is $3n^2 + 5n$ then which of its terms is 164?

If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number} and D = {x : x is a prime number}, find:$C \cap D$

Write the value of $\sqrt{-25}\times\sqrt{-9}.$

Find out the following sentences are statements and which are not. Justify your answer. There are 35 days in a month.

If a coin is tossed two times, describe the sample space associated to this experiment.

{2, 6, 10, 14} and {3, 7, 11, 15} are disjoint sets.

Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and B = { 2, 3, 5, 7 }. Find A $\cap$B and hence show that A $\cap$B = B.

Find the principal argument of $\Big(1+\text{i}\sqrt{3}\Big)^2.$

In a simultanepous throw of a pair of dice, find the probability of getting:A doublet of odd numbers.