IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 4

MEDIUM

10th Foundation

IMPORTANT

Earn 100

If $a m = b l$ and $b n \neq c m$ . Then the system of equations

$a x + b y = c$ and $l x + m y = n$

50% studentsanswered this correctly

Important Questions on Pair of Linear Equations in Two Variables

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 5

The value of

k

, for which the system of equations

k x - 3 y + 6 = 0

,

4 x - 6 y + 15 = 0

represent parallel lines, is _____

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 6

The system of equations

$2 x + 3 y = 7,$

$2 a x + (a + b) y = 28$

Has infinitely many solutions, then the values of $a$ and $b$ respectively are _____

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 7

In a

Δ A B C

,

∠ C = 3 ∠ B = 2 (∠ A + ∠ B)

. The three angles will be _____

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 8

The ratio of a

2

-digit number to the sum of digits of that number is

4 : 1

. If the digit in the unit place is

3

more than the digit in the tens place, what is the number?

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 9

Sum of two numbers is

64

and their difference is

22

. Find the numbers.

MEDIUM

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 10

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

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 11

The solution of the system of equations

\frac{2 x + 5 y}{x y} = 6

and

\frac{4 x - 5 y}{x y} + 3 = 0

, (where

x \neq 0, y \neq 0)

, is _____

HARD

10th Foundation

IMPORTANT

IMO Olympiad Work Book 10>Chapter 3 - Pair of Linear Equations in Two Variables>MATHEMATICAL REASONING>Q 12

Value of x in a pair of linear equations

36 x + 24 y = 702

and

24 x + 36 y = 558

is _____