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- 1. Multiple Choice
The pair of equations y = 0 and y = -7 has
One solution
two solution
infinitely many solutions
no solution
- 2. Multiple Choice
If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b
are respectively
6, -1
19/5, 6/5
2,3
1,4
- 3. Multiple Choice
The pair of equations x = a and y = b graphically represents the lines which are
parallel
intersecting at (b,a)
intersecting at (a, b)
coincident
- 4. Multiple Choice
The value of k, for which the system of equations
x + (k + 1)y = 5 and (k + 1)x + 9y = 8k – 1 has infinitely many solutions is
2
3
4
5
- 5. Multiple Choice
Graphically, the pair of equations
6x – 3y + 10 = 0
2x – y + 9 = 0
Intersecting at exactly one point
Intersecting at two points
Coincident
Parallel
- 6. Multiple Choice
Assertion:
The linear equations x−2y−3=0 and 3x+4y−20=0 have exactly one solution.
Reason:
The linear equations 2x+3y−9=0 and 4x+6y−18=0 have a unique solution.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
Assertion is correct but Reason is incorrect.
Assertion is incorrect but Reason is correct.
- 7. Multiple Choice
In a number of two digits, unit’s digit is twice the tens
digit. If 36 be added to the number, the digits are
reversed. The number is
36
48
63
84
- 8. Multiple Choice
Which of the following pair of equations are
inconsistent?
- 9. Multiple Choice
The value of a for which the lines, x = 1 and y = 2 and are concurrent is
1
- 4
8
- 2
- 10. Multiple Choice
The point on the X -axis which if equidistant from the
points A (-2, 3) and B (5,4) is
(0,2)
(2, 0)
(3, 0)
(-2, 0)
- 11. Multiple Choice
If the points A (4,3) and B (x, 5) are on the circle with centre O (2, 3), then the value of x is
-1
1
2
-2
- 12. Multiple Choice
C is the mid point of PQ, if P is (4, x), C is (y , -1) and Q is (-2, 4) , then the x and y respectively are
- 6 and 1
- 6 and 2
6 and -1
6 and -2
- 13. Multiple Choice
If x - 2y + k = 0 is a median of the triangle whose vertices are at points A(-1, 3), B(0, 4) and C(-5, 2) , then the value of k is
2
4
6
8
- 14. Multiple Choice
The largest number that will divide 398, 436 and
542 leaving remainders 7, 11 and 15 respectively
is
17
11
34
45
- 15. Multiple Choice
The least number that is divisible by all the
numbers from 1 to 8 (both inclusive) is
2520
840
8
420
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