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  • CDS Exam ELEMENTARY MATHEMATICS Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of ELEMENTARY MATHEMATICS Quadratic Equations for CDS Exam student. This free online ELEMENTARY MATHEMATICS study material for CDS Exam will help students in learning and doing practice on Quadratic Equations topic of CDS Exam ELEMENTARY MATHEMATICS. The study material on Quadratic Equations, help CDS Exam ELEMENTARY MATHEMATICS students to learn every aspect of Quadratic Equations and prepare themselves for exams by doing online test exercise for Quadratic Equations, as their study progresses in class. Kidsfront provide unique pattern of learning ELEMENTARY MATHEMATICS with free online comprehensive study material and loads of CDS Exam ELEMENTARY MATHEMATICS Quadratic Equations exercise prepared by the highly professionals team. Students can understand Quadratic Equations concept easily and consolidate their learning by doing practice test on Quadratic Equations regularly till they excel in ELEMENTARY MATHEMATICS Quadratic Equations.


Quadratic Equations
Thevalue of (x+y+z)3 - (y+z-x)3 -(Z+x-y)3-(x+y-z)3 is

a) 0
b) 12xyz
c) 24xyz
d) 36xyz



Answer
Solution
Correct Answer Is : 24xyz
Solution Is :
If a =b2/ b-a ,then the value of a3 + b3 is

a) 0
b) 1
c) 2
d) 6 ab



Answer
Solution
Correct Answer Is : 0
Solution Is :
If xy+yz +zx=0 ,then (1/x2 + yz + 1/y2 -zx +1/ z2- xy) (x ,y, z is not equal to 0) is equal to

a) 1
b) X+y+z
c) 0
d) 3



Answer
Solution
Correct Answer Is : 0
Solution Is :

Theequation cos2 θ =(x+y)2/4xy is only possible when

a) X>y
b) X=y
c) X d) X=-y



Answer
Solution
Correct Answer Is : X=y
Solution Is :
If x + y + z = 15, xy + yz + zx = 75, then x + 4y + z / 3z is equal to

a) 1
b) 0
c) 2
d) -1



Answer
Solution
Correct Answer Is : 2
Solution Is :

(a + b - 2c)3 + (b + c - 2a)3 + (c + a - 2b) 3 is equal to

a) (a+b-2c)(b+c-2a)(c+a-2b)
b) 2(a+b+2c)(b+c-2a)(c+a+-2b)
c) 3(a+b-2c)(b+c-2a)(c+a-2b)
d) 0



Answer
Solution
Correct Answer Is : 0
Solution Is :

Let 3√a = 3√26 + 3√7 + 3√63 . Then ,

a) A > 729
b) A = 729
c) A< 729 but a > 216
d) A < 216



Answer
Solution
Correct Answer Is : A< 729 but a > 216
Solution Is : 3√a = 3√26 + 3√7 + 3√63 , 3√a = 3√27 + 3√8 + 3√64
3√a = 3 + 2 + 4 ---> 3√a = 9
Accrding to question the digits are 26 , 7 , 63
But according to cube values we use digits as 27 , 8 , 64
thewrefore a < 93 or a < 729
If x + y + z = 13 and x2 + y2 + z2 = 69 , then the value of xy + z(x+y) is

a) 50
b) 60
c) 70
d) 40



Answer
Solution
Correct Answer Is : 50
Solution Is :
If 3 sinθ + 5 cosθ = 5 , then 5sinθ - 3 cosθ is equal to

a) 1
b) +/- 2
c) +/- 3
d) +/- 5



Answer
Solution
Correct Answer Is : +/- 3
Solution Is :
If (x-2) is a factor of x2 +3Qx - 3Q then the value of Q is

a) 2
b) -2
c) 1
d) -1



Answer
Solution
Correct Answer Is : -1
Solution Is :
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