Question

SUBJECT: MATHEMATICS
1. The zeroes of the quadratic polynomial x2+ax+a,a≠0,

(A) Cannot both be positive (B) Cannot both be negative (C) Are always unequal (D) Are always equal

2. The area of triangle formed by the lines y=x, x=6 and y=0 is

(A) 36 sq unit (B) 18 sq unit (C) 9 sq unit (D) 72 sq unit

3. If ax2+bx+c=0 has equal roots, then c=

(A)-b/2a (B) b/2a (C) -b 2 /4a (D) b 2 /4a

4. The pair of linear equations x=y and x+y=0 has

(A) No common solution (B) Infinitely many solutions (C) Unique solution (D) None of these

5. Sum of zeroes of quadratic equation 3x2 – 5x + 1 = 0 is

(A) 5/3 (B) -5/3 (C) 1/3 (D) -1/3

6. If 3 is the least prime factor of number a and 7 is the least prime factor of number b then the least prime factor of number a+b is

(A) 2 (B) 5

(C) 3 (D) 10

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Answer 1

Answer:

Since you didnt reposted question am explaining here

x2+kx+k,k≠0

roots or zeroes=(-k+√(k∧2-4k))/2,(-k-√(k∧2-4k))/2

since k≠0 ,roots can't be zero

the nature of root depends on √(k∧2-4k )

k<0 then √(k∧2-4k)>k so roots will be one  positive and one negative

if k>0 then √(k∧2-4k) < k both roots will be  negative

so both roots can't be positive

Answer 2

Answer:

correct answers is-

1) (A) Cannot both be positive

2)(B) 18 sq unit

3)(D) b 2 /4a

4)Unique solution

5)5/3

6)(A) 2