The equation `kcosx - 3sinx + k +1` is solvable only if `k` belongs to the interval :

The equation k sinx + cos2x = 2k -7 possesses a solution if :

The number of values of 'k' for which the equation x^(2) - 3x + k = 0 has two distinct roots lying in the interval (0,1) is :

lambda cos x - 3 sinx=lambda +1 is solvable for which value of λ .

The number of values of k for which the equation x^(3)-3x+k=0 has two distinct roots lying in the interval (0, 1) is :

In a Delta ABC angle A is greater than B. If the measures of angles A and B satisfy the equation 3sinx - 4sin^(3)x - k = 0 , 0ltklt1 , then the measures of angle C is :

If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k) - 1 = 0 is 7, then the roots of the equation are real for k equal to :

Solve the equation sinx+cosx=1

If x = 3, y = 2 is a solution of the equation 5x - 7y = k, find the value of k and write the resultant equation.

Consider a family of circles which are passing through the point (-1, 1) and are tangent to x-axis. If (h,k) are the co-ordinates of the centre of the circle, then the set of values of k is given by the interval :