10 Mathematics Quadratic Equation 05
1
Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks CBSE TEST PAPER-05 CLASS –X Mathematics (Quadratic Equation) 1. Discriminant of 2 1 1 0 2 2 x x - + + = is (a) 1 ,1 2 - (b) 1 ,1 2 (c) 1 , 1 2 - - (d) 1 1 , 2 2 - [1] 2. For equal root, ( 2 6 0 kx x - + = value of k is (a) 6 k = (b) 3 k = (c) 2 k = (d) 8 k = [1] 3. Quadratic equations whose roots are 2 , 2 s s + - is (a) 2 4 1 0 x x - - = (b) 2 4 1 0 x x + = (c) ( ( 2 5 2 5 0 x x x + - = (d) 2 4 2 0 x x - + = [1] 4. If α and β are root of the equations 2 3 5 7 0, x x - = then αβ equal to (a) 7 3 (b) 7 3 - (c) 5 3 - (d) 21 [1] 5. Solve by factorization 1 1 11 11 x x + = [2] 6. Find the ratio of the sum one produce of the roots of 2 7 12 18 0 x x - + = [2] 7. If α and β are the roots of the equation 2 12 0, x kx + = such that 1 α β - = then find K. [2] 8. In a cricket match Kapil took one wicket less than twice the number of wickets taken by Ravi. If the product of the no. of wickets taken by these two is 15, find the no. of wickets taken by each. [3] 9. The sum of a no. and its reciprocal is 17 4 . Find the no. [3] 10. A piece of cloth costs Rs200. If the piece was 5m longer and each metre of cloth costs Rs2 less the cost of the piece would have remained unchanged. How long is the piece and what is the original rate per metre? [4] 11. 2 0, 0 ax bx c a + = ≠ Solve by quadratic formula. [4] 12. The length of the hypotenuse of a right ∆ exceeds the length of the base by 2 cm and exceeds twice the length of the altitude by 1cm. find the length of each side of the ∆ . [4]
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Transcript of 10 Mathematics Quadratic Equation 05
Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in
Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks
CBSE TEST PAPER-05
CLASS –X Mathematics (Quadratic Equation)
1. Discriminant of 2 1 1
02 2
x x− + + = is
(a) 1
,12
− (b) 1
,12
(c) 1
, 12
− − (d) 1 1
,2 2
−
[1]
2. For equal root, ( )2 6 0kx x − + = value of k is
(a) 6k = (b) 3k = (c) 2k = (d) 8k =
[1]
3. Quadratic equations whose roots are 2 , 2s s+ − is
(a) 2 4 1 0x x− − = (b) 2 4 1 0x x+ + =
(c) ( ) ( )2 5 2 5 0x x x+ + − = (d) 2 4 2 0x x− + =
[1]
4. If α and β are root of the equations 23 5 7 0,x x+ − = then αβ equal to
(a) 7
3 (b)
7
3
− (c)
5
3
− (d) 21
[1]
5. Solve by factorization
1 111
11x
x+ =
[2]
6. Find the ratio of the sum one produce of the roots of 27 12 18 0x x− + = [2]
7. If α and β are the roots of the equation 2 12 0,x kx+ + = such that 1α β− = then
find K.
[2]
8. In a cricket match Kapil took one wicket less than twice the number of wickets
taken by Ravi. If the product of the no. of wickets taken by these two is 15, find the
no. of wickets taken by each.
[3]
9. The sum of a no. and its reciprocal is
17
4. Find the no.
[3]
10. A piece of cloth costs Rs200. If the piece was 5m longer and each metre of cloth
costs Rs2 less the cost of the piece would have remained unchanged. How long is
the piece and what is the original rate per metre?
[4]
11. 2 0, 0ax bx c a+ + = ≠ Solve by quadratic formula. [4]
12. The length of the hypotenuse of a right ∆ exceeds the length of the base by 2 cm
and exceeds twice the length of the altitude by 1cm. find the length of each side of
the ∆ .
[4]
