`(i)` The sum of the interior angles of a triangle is `180^@`.`(ii) sqrt(-9)` is irrational number. `(iii) x^2-3x+2=0` implies that `x=-1` or `x=-2`.

Find which of the variables x, y, z and u represent irrational numbers :(i) x^2=5 (ii) y^2=9 (iii) z^2=0.04 (iv) u^2=400/4

The angles of a triangle are in the ratio 2:3:4 . Find them The following are the steps involved in solving the above problem. Arrange them in sequential order from the first to the last. (A) 2x+3x+4x=180^(@) implies 9x= 180^(@)implies x=20^(@) (B) Let the angles be A,B and C. Given A:B:C=2:3:4 implies A=2x,B=3x=C=4x (C ) We know that the sumf of the angles of a triangle is 180^(@), ie., A+B+C=180^(@) (D) The angles are :A=2(20^(@))=40^(@),B=3(20^(@))= 60^(@) and C=4(20^(@))=80^(@) .

The domain and range of real function f if (i) f(x)=sqrt(1-x^(2))(ii)sqrt((x-1)(x-3))(iii)sqrt(4x-x^(2)-3)

Find the integrals of the following : 1/(sqrt((2+x)^2-1)) (ii) 1/(sqrt(x^2-4x+5)) (iii) 1/sqrt(9+8x-x^2)

Which of the following conditions imply that the real number x is rational ? (i) x^(1/2) is rational (ii) x^(2) and x^(5) are rational (iii) x^(2) and x^(4) are rational

Which of the following are quadratic equations? x^2+6x-4=0 (ii) sqrt(3)x^2-2x+1/2=0 (iii) x^2+1/(x^2)=5

Which of the following are quadratic equations? (i) x-3/x=x^2 (ii) 2x^2-sqrt(3)x+9=0 (iii) x^2-2x-sqrt(x)-5=0

Which of the following conditions imply that the real number x is rational ? (i) x^(1//2)"is rational"" "(ii) x^(2)and x^(5) "are rational"" "(iii) x^(2)and x^(4)"are rational"

Which of the following conditions imply that the real number x is rational ? (i) x^(1//2)"is rational"" "(ii) x^(2)and x^(5) "are rational"" "(iii) x^(2)and x^(4)"are rational"