2(1 + x^3)^100 =a -cos (x +k) then the value of a, +2, + a, +-(D) None of these(B) 2100(C) 2101(A) 299

If a (A) x=0 (B) x=1 (C) x=2 (D) None of these.

If (x-1)/(x)=3, then the value of 1+(1)/(x^(2)) is (a) 9(b) 10(c)11 (d) None of these

If f(x) = x+ 1/x , x>0 then the greatest value of f(x) is (a) -2 (b)0 (c) 3 (d) none of these

If sin^(-1)(x-1)+cos^(-1)(x-3) +tan^(-1)(x/(2-x^2))= cos^(-1)k+pi then the value of k is A)1 B) -1/sqrt2 C) 1/sqrt2 D)None of these

If sin^(4)x + cos^(4)x=k then possible value of k is/are : (A) 1/2 (B) 1/4 (C) 1 (D) 7/10

If x^(140)+2x^(151)+k is divisible by x+1 , then the value of k is=? (a) 1 (b) -3 (c) 2 (d) -2

If x^2 + 5x - 2 k , is exactly divisible by (x-1), then the value of K is (A) 1 (B) 2 (C ) 3 (D) 4

The line (x-4)/1=(y-2)/1=(z-k)/2 lies exactly on the plane 2x-4y+z=7 then the value of k is (A) 7 (B) -7 (C) 1 (D) none of these

If (x_1-x_2)^2+(y_1-y_2)^2=a^2, (x_2-x_3)^2+(y_2-y_3)^2=b^2, (x_3-x_1)^2+(y_3-y_1)^2=c^2, and k|[x_1,y_1, 1],[x_2,y_2, 1],[x_3,y_3, 1]|=(a+b+c)(b+c-b)(c+a-b)xx(a+b-c) , then the value of k is 1 b. 2 c. 4 d. none of these

If (x_1-x_2)^2+(y_1-y_2)^2=a^2 , (x_2-x_3)^2+(y_2-y_3)^2=b^2 , (x_3-x_1)^2+(y_3-y_1)^2=c^2 , and k|[x_1,y_1, 1],[x_2,y_2, 1],[x_3,y_3, 1]|=(a+b+c)(b+c-b)(c+a-b)xx(a+b-c) , then the value of k is 1 b. 2 c. 4 d. none of these