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MCQ Real Number

The document presents a series of mathematical problems related to pairs of linear equations, including determining the number of solutions for given equations, identifying a two-digit number based on digit manipulation, and analyzing the graphical representation of lines. It includes multiple-choice options for each question, covering concepts such as unique solutions, coincident lines, and the conditions for consistency in linear equations. The problems require knowledge of algebra and geometry to solve.

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Robin Barton
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41 views2 pages

MCQ Real Number

The document presents a series of mathematical problems related to pairs of linear equations, including determining the number of solutions for given equations, identifying a two-digit number based on digit manipulation, and analyzing the graphical representation of lines. It includes multiple-choice options for each question, covering concepts such as unique solutions, coincident lines, and the conditions for consistency in linear equations. The problems require knowledge of algebra and geometry to solve.

Uploaded by

Robin Barton
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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1.

The pair of equations 5x – 15y = 8 and 3x – 9y = 24

has:

(a) one solutions (b) two solutions

(c) infinitely many solutions (d) no solution

2. The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the

number get reversed. The number is:

(a) 25 (b) 72 (c) 63 (d) 36

3. Graphically, the pair of equations: 6x – 3y + 10 = 0; 2x – y + 9 = 0 represents two lines

which are :

(a) intersecting at exactly one point(b) intersecting at exactly two points

(c) coincident (d) parallel

4. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have:

(a) a unique solution (b) exactly two solutions

(c) infinitely many solutions (d) no solution

5. If a pair of linear equations is consistent, then the lines will be:

(a) parallel (b) always coincident

(c) intersecting or coincident (d) always intersecting

6. The pair of equations y = 0 and y = –7 has :

(a) one solution (b) two solutions

(c) infinitely many solutions (d) no solution

7. The pair of equations x = a and y = b graphically represents lines which are:

(a) parallel (b) intersecting at (b, a)

(c) coincident (d) intersecting at (a, b)

8. For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident

lines?
(a)

2 (b) − 1

2 (c) 2 (d) –2

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