3. If, so Find the value of 1.

If alpha and beta are the zeroes of polynomial x^2+x+1 .So find the value of 1/alpha-1/beta.

Find the value of 'a' so that Find the values of a and b so that the function defined by f (x) = {{:(ax^(2) + 9x - 5 " if " x lt 1 ), (b " if " x = 1 ),((x + 3) (2x -9) " if " x gt 1 ):} is continuous on R .

Between 1 and 31 are inserted m arithmetic mean so that the ratio of the 7 th and (m-1)th means is 5:9. Find the value of m .

If A=[3-24-2], find the value of lambda so that A^(2)=lambda A-2I. Hence,find A^(-1)

If {(1,xle3) , (ax+b,3 hence find the value of 'a' and 'b' so that f(x) is continuous.

IF sec theta sin (36^(@) + theta) =1 . Find the value of theta so that theta and 36^(@) + theta are acute angles.

If A=[(3,-2),( 4,-2)] , find the value of lambda so that A^2=lambdaA-2Idot Hence, find A^(-1) .

Find the value of x_(1) , so that int_(0)^(x_(1))ydx=5

Find the value of x_(1) , so that int_(0)^(x_(1))ydx=5

Find the value of x_(1) , so that int_(0)^(x_(1))ydx=5