For all 'x' , `x^2 + 2ax - 5a +6` > 0 , then the range of 'a' is:
(a)-1<'a'<6
(b)-6<'a'<-1
(c)'a' >1
(d)-6<'a'<1

If one root of the equation 2x^(2)+kx+4=0 is 2, then the other root is (a) 6 (b) -6 (c) -1 (d) 1

If x^2 + frac(1)(x^2) =7 , then the values of x + frac(1)(x) is (A) 2 (B) 3 (C ) 5 (D) 6

If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a is equal to (a) 1 (b) -6 (c) 6 (d) 0

If |2x5 8x|=|6-2 7 3| , then x= (a) 3 (b) +-3 (c) +-6 (d) 6

If one root of the polynomial f(x)=5x^(2)+13x+k is reciprocal of the other,then the value of k is (a) 0 (b) 5(c)(1)/(6) (d) 6

Let f be differentiable for all x, If f(1)=-2 and f'(x)>=2 for all x in[1,6] then find the range of values of f(6)

(-2)x\ (-3)x\ 6\ x\ (-1) is equal to (a)36 (b) -36 (c) 6 (d) -6

Let |x2xx^2x6xx6|=a x^4+b x^3+c x^2+dx+edot Then, the value of 5a+4b+3c+2d+e is equal 0 (b) -16 (c) 16 (d) none of these

If the equations x^(5) + ax + 1= 0 and x^(6) + ax^(2) + 1= 0 have a common root , then the value of ' -3a ' is equal to ______.