Section 1 has 16 questions of 1 mark each.
Internal Choice is provided in 5 questions.
1. If ab= 300 and HCF (a,b) = 5, then find the LCM (a,b).
OR
Explain why 7X6X5X4X3X2X1+5 is a composite number.
2. For which values of K does the pair of equtation given below has uniques
4x+py+8=0
2x+2y+2=0
3. If one zero of the polynomial 2x2+3x+p is 1/2. Find the value of 'p'.
4. If 18,a,b,-3 are in A.P. then find the value of a+b.
OR
Find the middle term of the AP, 6,13,20................. 216. .
5. Check whether the pair of equation is consistent or inconsistent
X+3y = 6
2x-3y = 12
6. Find the discriminant of the quadratic equation 3. Fri 10
LE
Answers
Given : ab= 300 and HCF (a,b) = 5,
To Find : LCM (a,b).
Solution:
ab= 300 and HCF (a,b) = 5,
LCM (a,b). = ?
LCM (a,b). x HCF (a,b) = a x b
=> LCM (a,b). x 5 = 300
=> LCM (a,b). = 60
Possible numbers 5 , 60
or 15 , 20
4x+py+8=0
2x+2y+2=0
unique => 4/2 ≠ p/2 => p ≠ 4
If one zero of the polynomial 2x²+3x+p is 1/2
=> 2(1/2)² + 3(1/2) + p = 0
=> 1/2 + 3/2 + p = 0
=> 2 + p = 0
=> p = - 2
18,a,b,-3 are in A.P => a + b = 15
18 , 11 , 4 , - 3 is AP
6,13,20................. 216.
terms = n => 216 = 6 + (n - 1) 7 => n = 31 middle term = 16
=> 6 + (16 - 1) 7 = 111
or ( 6 + 216)/2 = 111
X+3y = 6
2x-3y = 12
=> 1/2 ≠ - 1 Hence consistent
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