A relation `varphi` from `C` to `R` is defined by `x\ varphi\ yhArr|x|=y` . Which one is correct?
(a) `(2+3i)varphi13` (b) `3varphi(-3)` (c) `(1+i)varphi2` (d) `ivarphi1`

A relation varphi from C\ to\ R is defined by xvarphiyhArr|x|=ydot Which one is correct? a. (2+3i)varphi13 b. 3varphi(-3) c. (1+i)varphi2 d. ivarphi1

Evaluate: int_(pi/4)^((3pi)/4) varphi/(1-sinvarphi)d varphi

Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are true? (i) {{2},{1}} A (ii) {varphi,{varphi}, {1,varphi}}subA

The solution of the differential equation (dy)/(dx)=y/x+(varphi(y/x))/(varphi^(prime)(y/x)) is a. varphi(y/x)=k x b. x \ varphi\ (y/x)=k c. varphi\ (y/x)=k y d. y \ varphi(y/x)=k

If sintheta=5sin(theta+varphi),t h e ntan(theta+varphi)= (sinvarphi)/(cosvarphi-3) b. (sinvarphi)/(cosvarphi+3) c. (sinvarphi)/(cosvarphi-5) d. (cosvarphi)/(sinvarphi+5)

Let P M be the perpendicular from the point P(1,2,3) to the x-y plane. If vec O P makes an angle theta with the positive direction of the z- axis and vec O M makes an angle varphi with the positive direction of x- axis, w h e r eO is the origin and thetaa n dvarphi are acute angels, then a. costhetacosvarphi=1//sqrt(14) b. sinthetasinvarphi=2//sqrt(14) c. ""tanvarphi=2 d. tantheta=sqrt(5)//3

If f(x)=|x-a|varphi(x), where varphi(x) is continuous function, then (a) f^(prime)(a^+)=varphi(a) (b) f^(prime)(a^-)=-varphi(a) (c) f^(prime)(a^+)=f^(prime)(a^-) (d) none of these

If f(x)=|x-a|varphi(x) , where \ varphi(x) is continuous function, then f'(a^+)=varphi(a) (b) f^(prime)(a^-)=-varphi(a) (c) f^(prime)(a^+)=f'(a^-) (d) none of these

If f: Q->Q is defined as f(x)=x^2,\ t h e n\ f^(-1)(9) is equal to a. 3 b. -3 c. varphi d. {-3,3}

Which of the following statements are correct? Write a correct form of each of the incorrect statements. (i) varphi in {a , b} (ii) varphisub{a , b , c} (iii) {x : x+3=3}=varphi