If HCF of (p2- 8p + 12) and (p2 + 4p -12) is (p-a), then the value of a is
-6
2
-2
6
B.
2
p-a=0
p=a
On putting the value of 'p' in both polynomials, we get
a2-8a+12 =0
a2-6a-2a+12 =0
a(a-6)-2(a-6)=0
(a-2)(a-6)=0
a=2,6
Again, a2+ 4a-12=0
a2+ 6a-2a-12 =0
a(a + 6)-2(a+ 6) =0
(a-2)(a+6)=0
a=2,-6
Hence, a=2
The factors of polynomial x3- 6x2 + 11x - 6 are
(x+1)(x+2)(x-3)
(x-1)(x+2)(x-3)
(x-1)(x-2)(x-3)
(x-1)(x-2)(x+3)
The marks of 16 students in math in monthly test are 0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5,6, 6, 7, 8, then mode will be
5
6
3
7
If distance between centre to chord is 12 cm and length of chord is 10 cm, then the diameter of circle is
26 cm
14 cm
13 cm
30 cm