Class test Quaratic equations
1m x 4Q =4M , 2m x 3Q = 6m , 3m x 2Q = 6m , 4m x 1Q = 4m
Q1.Which of the following is not a Quadratic equation
A) x
2
-2x = (-2) (3-x) B) x
3
-4x2
-x+1 = (x-2)3
C) (x+2) (x+1) =(x-1) (x+3) D) (x+1)2 = 2(x-3)
Q 2. Roots of quadratic equation 6x2
-x-2 are
A) 2/3 , -1/2 B) 3, -4 C) -3/2 , 1/2 D) -2/3, 1/2
Q.3 For quadratic equation 2x2 + Kx+ 3 to have real roots, value of k will be
A) 2 √6 B) ± √6 C) ± 2 √6 D) - 2√6
Q 4. Check whether x= -√2 , -2√2 are roots of x
2+ √2x-4 =0
Q 5. Find two consecutive odd positive integers ,sum whose squares is 290.
Q 6. Divide 16 into two parts such that twice square of larger part exceeds the square of smaller part by 164 .
Q 7. Without solving find the nature of roots (x-2a) (x-2b) = 4ab
Q 8. If -4 is a root of the equation x
2+ px -4 = 0 and the equation x
2
+ px +q = 0 has equal roots then
find p and q.
Q 9. reduce to quadratic equation and solve for x.
1
p+q+x = p
1 +
1
q
+ x
1
OR Solve for x , 2x
x−4 + x−3
2x−5 = 3
25
Q 10. Out of a group of swans, 7/2 times the square root of the total number are playing on the shore
of a pond. Te two remaining ones are swimming in water. Find the total of swans.
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