Download App

Linear Equations In Two Variables — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsLinear Equations In Two Variables2 Marks
Question
On comparing the ratios $\frac{\text{a}_1}{\text{a}_2},\frac{\text{b}_1}{\text{b}_2}$ and $\frac{\text{c}_1}{\text{c}_2},$ and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.
$9x + 3y + 12 = 0$
$18x + 6y + 24 = 0$
✓

Answer

Given equation are:
$9x + 3y + 12 = 0$
$18x + 6y + 24 = 0$
Where, $a_1 = 9, b_1 = 3, c_1= 12$
$a_2 = 18, b_2 = 6, c_3= 24$
We get $\frac{\text{a}_1}{\text{a}_2}=\frac{9}{18},\frac{\text{b}_1}{\text{b}_2}=\frac{3}{6}$
and $\frac{\text{c}_1}{\text{c}_2}=\frac{12}{24}$
$\Rightarrow\frac{\text{a}_1}{\text{a}_2}=\frac{\text{b}_1}{\text{b}_2}=\frac{\text{c}_1}{\text{c}_2}=\frac{1}{2}$
Thus the pair of linear equation are coincide.

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 "2 Marks Questions" from Linear Equations In Two Variables→Linear Equations In Two Variables — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

Find the $8^{th}$ term from the end of the AP $7, 10, 13, ...., 184.$
→
Using prime factorization, find the HCF and LCM of:
$12, 15, 21$
→
A park is in the form of a rectangle $120\ m \times 100\ m$. At the centre of the park there is a circular lawn, The area of park excluding lawn is $8700\ m^2.$
Find the radius of the circular lawn. $\big(\text{Use }\pi=\frac{22}{7}\big)$
→
Find the value of discriminant.
$\sqrt{2} x^2+4 x+2 \sqrt{2}=0$
→
Let X be any point on side BC of $\Delta$ABC. seg XM || side AB and seg XN || side CA. M-N-T, T-B-X. Prove that : TX2 = TB.TC.
Image
→
Find the number of shares received when Rs. 60,000 was invested in the shares of FV Rs. 100 and MV Rs. 120.
→
Very-Short-Answer Question:
Find the zeros of the polynomial $x^2 + x - p(p + 1).$
→
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
Other than an ace.
→
In an A.P. the 10th term is 46, sum of the 5th and 7th term is 52. Find the A.P.
→
In a lottery there are 10 prizes and 25 blanks. What is the probability of getting a prize?
→