The expression `log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5))` reduces to `p/q,` where p and q are co-prime, the value of `p^2+q^2` is

If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cosec^2theta) is equal to p/q (where p and q are coprime), then the value of (p+q) is

If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cosec^2theta) is equal to p/q (where p and q are coprime), then the value of (p+q) is

If equation 6(log_(x)2-log_(4)x)+7=0 has roots x_(1) and x_(2) then log_(2)x_(1)x_(2) is equal to (p)/(q) , where p and q are co-prime numbers, then the value of p+q is equal to

If the maximum value of the expression (1)/(5sec^(2)theta-tan^(2)theta+4cos ec^(2)theta) is equal to (p)/(q)( where p and q are coprime),then the value of (p+q) is

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

If lim_(x rarr0)(x+ln(sqrt(x^(2)+1)-x))/(x^(3))=(p)/(q) where p and q are coprimes then find the value of |p^(2)-q^(2)|

If sum _( k =1) ^(oo) (k^(2))/(3 ^(k))=p/q, where p and q are relatively prime positive integers. Find the value of (p-q),