## Chapter 3: Pair of Linear Equations in Two Variables

### Part – 1

**1. The pairs of equations x+2y-5 = 0 and -4x-8y+20=0 have:**

(a) Unique solution

(b) Exactly two solutions

(c) Infinitely many solutions

(d) No solution

Answer:** (c) Infinitely many solutions**

**2. If a pair of linear equations is consistent, then the lines are:**

(a) Parallel

(b) Always coincident

(c) Always intersecting

(d) Intersecting or coincident

Answer:** (d) Intersecting or coincident**

**3. The pairs of equations 9x + 3y + 12 = 0 and 18x + 6y + 26 = 0 have**

(a) Unique solution

(b) Exactly two solutions

(c) Infinitely many solutions

(d) No solution

Answer:** (d) No solution**

**4. If the lines 3x+2ky – 2 = 0 and 2x+5y+1 = 0 are parallel, then what is the value of k?**

(a) 4/15

(b) 15/4

(c) ⅘

(d) 5/4

Answer:** (b) 15/4**

**5. If one equation of a pair of dependent linear equations is -3x+5y-2=0. The second equation will be:**

(a) -6x+10y-4=0

(b) 6x-10y-4=0

(c) 6x+10y-4=0

(d) -6x+10y+4=0

Answer:** (a) -6x+10y-4=0**

**6. The solution of the equations x-y=2 and x+y=4 is:**

(a) 3 and 1

(b) 4 and 3

(c) 5 and 1

(d) -1 and -3

Answer: **(a) 3 and 1**

**7. A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. The fraction obtained is:**

(a) 3/12

(b) 4/12

(c) 5/12

(d) 7/12

Answer: **(c) 5/12**

**8. The solution of 4/x+3y=14 and 3/x-4y=23 is:**

(a) ⅕ and -2

(b) ⅓ and ½

(c) 3 and ½

(d) 2 and ⅓

Answer:** (a) ⅕ and -2**

**9. Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Her speed of rowing in still water and the speed of the current is:**

(a) 6km/hr and 3km/hr

(b) 7km/hr and 4km/hr

(c) 6km/hr and 4km/hr

(d) 10km/hr and 6km/hr

Answer: **(c) 6km/hr and 4km/hr**

**10. The angles of cyclic quadrilaterals ABCD are: A = (6x+10), B=(5x)°, C = (x+y)° and D=(3y-10)°. The value of x and y is:**

(a) x=20° and y = 10°

(b) x=20° and y = 30°

(c) x=44° and y=15°

(d) x=15° and y=15°

Answer: **(b) x=20° and y = 30°**

*video lesson*

*video lesson*