Equation `(x + 1)^2 - x^2 = 0` has roots (i) `-1/2` (ii) `2` (iii) `3` (iv) `4​`

The number of solutions of the equations 2x - 3y = 5, x+2y=7 is (i) 1 (ii)2 (iii)4 (iv) 0

The number of zeroes that polynomial f(x) = (x-2)^(2)+4 can have is : (i)1 (ii) 2 (iii) 0 (iv) 3

Find the value of a for the equation x^(2)+a|x|+1=0 has (i) no roots (ii) two roots (iii) 3 roots (iv) 4 roots

The number of real roots of the equation | (x,-6,-1), (2,-3x,x-3), (-3, 2x, x-2) | =0 is (i) 0 (ii) 1 (iii) 2 (iv) 3

Check which of the following are solutions of the equations x-2y=4 and which are not: (i) (0,2) (ii) (2,0) (iii) (4,0) (iv) (sqrt(2),4sqrt(2)) (v) (1," "1)

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If f(x)= |x - 1| + |x - 3|, then f'(2)= (i)-2 (ii)-1 (iii)0 (iv)2

The function f(x)=|x^(2)-3x+2| has local maxima at (i)x=1(ii)x=(3)/(2)( iii) x=2 (iv) none of these

Let x=root(3)(2+sqrt5)+root(3)(2-sqrt5), then x^3+3x is equal to (i)1 (ii)2 (iii)3 (iv)4

Equation of pair of lines passing through origin and making an angle (pi)/(4) with the line 3x+2y+4=0 is (3x+2y)^(2)-k(2x-3y)^(2)=0 then k=(i)1 (ii) -1 (iii) 3 (iv) (1)/(3)