The range of `a` which the equation `4^x-a.2^(x)-a+3=0` has atleast one solution is

The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=0 has atieast one solution is [lamda, mu ]. Find the value of (9mu+delta).

The interval of a for which the equation tan^(2)x-(a-4)tan x+4-2a=0 has at least one solution AA x in[0,pi/4]a in(2,3) b.a in[2,3] c.a in(1,4) d.a in[1,4]

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

The range of value's of k for which the equation 2 cos^(4) x - sin^(4) x + k = 0 has atleast one solution is [ lambda, mu] . Find the value of ( 9 mu + lambda) .

Find the range of a for which the equation ax^(2)+3x+4>0

The value of 'a' for which the equation 4cosec^(2)pi(a+x)+a^(2)-4a=0 has a real solution is

Find the no.of integral values of k for which the equation 7cos x+5sin x=2k+1 has atleast one solution.

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has all real solutions