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Answers
................... Solutions......................
Fill in the blanks
1) Z - 3M = -2xbar
2) non terminating
3)√225 =15 i.e. rational
4) D = b² - 4ac
MCQ
1) option a i.e. 0
product of 2 and 5 gives 10 with 0 as unit digit.
2) option a
(√3 + 2)² = 3 + 4 + 2(√3)(2)
= 7 + 4√3
3) option a
D = 25 = b² - 4ac
(-1)² - (4)(6)(-k) = 25
1 + 24k = 25
24k = 24. so k = 1.
4) sorry for this.
I don't know meaning of C here.
Answer in one word.
1) HCF of 7 and 117 is 1
LCM of 7 and 117 is 7 x 117 = 819
2) D>0 roots are real and distinct.
3) 3M = Z + 2x bar
3M = 36 + 24 = 60
M = 20
4) LCM of 12 and 15 = 2² x 3 x 5 = 60
True or false
1) false
mean of first 10 natural numbers is (10+1)/2 = 11/2
= 5.5 not 6
2) True
x = -3
2x² + 5x + k = 0 => 2(-3)² + 5(-3) + k = 0
=> 18 -15 +k = 0. => k = -3
3)True
4) False
prime factorisation of denominator of the fraction is 5³ which is in form of 5ⁿ so the above ratio is terminating.