If `(x+1)^((log)_(10)(x+1))=100(x+1),` then all the roots are positive real numbers all the roots lie in the interval (0,100) all the roots lie in the interval [-1,99] none of these

If both the roots of the equation x^(2) + bx + c = 0 lie in the interval (0,1) , then

The number of roots of equation cos^(7)theta - sin^(4)theta = 1 that lie in the interval [0,2pi] is-

If both the roots of the quadratic equation x^(2) mx+4=0 are real and distinct and they lie in the interval [1,5] then m lies in the interval

If both the roots of the equation 4x^(2)-2x+m=0 lie in the interval (-1, 1) , then

Find the real roots of the equation cos^(4)x+sin^(7)x=1 in the interval [-pi,pi]

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

for what values of m, the equation 2x^(2) -2 ( 2m +1) x+ m ( m +1) = 0 m in R has (i) Both roots smallar than 2 ? (ii) Both roots greater than 2 ? (iii) Both roots lie in the interval (2,3) ? (iv) Exactly one root lie in the interval (2,3) ? (v) One root is smaller than 1, and the other root is greater than 1 ? (vi) One root is greater than 3 and the other root is smaller than 2 ? (vii) Roots alpha and beta are such that both 2 and 3 lie between alpha and beta ?