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If z lies on the circle |z-1|=1, then (z...

If z lies on the circle `|z-1|=1`, then `(z-2)/z` is

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JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Find the value of log tan1^0logtan2^0...........logtan89^0

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  2. If |(x, x^2, x^3 +1), (y, y^2, y^3+1), (z, z^2, z^3+1)| = 0 and x ,y a...

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  3. If z lies on the circle |z-1|=1, then (z-2)/z is

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  4. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

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  5. The point of intersection of two tangents to the hyperbola (x^(2))/(a^...

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  6. prove that int1/(x(x^4+1))dx=1/4log(x^4/(x^4+1))+c

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  7. If (lim)(xvec0)[cot(pi/4+x)]^(1//x)=A e^2 then the value of A is: e^2 ...

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  8. A man is known to speak truth 3 out of 4 times. He throws a die and re...

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  9. If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , t...

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  10. The degree of het differential equation sqrt(1+((dy)/(dx))^2)=x^2 is (...

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  11. Let f: Rvec[3,5] be a differentiable function such that (lim)(xvecoo)f...

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  12. If a triangle is inscribed in a rectangular hyperbola, it’s orhtocente...

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  13. Let f:[0,5] to [-1,5], where f(x)={x^2-1,0 <= x < 2 , 1/3(19-2x), 2 < ...

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  14. Area bounded by the curve y=sqrt(sin[x]+[sinx]),(w h e r e[dot] is gre...

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  15. Let vec r=( vec axx vec b)sinx+( vec bxx vec c)cosy+2( vec cxx vec a),...

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  16. Let y=f(x) be an even function. If f^(prime)(2)=-sqrt(3) , then the in...

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  17. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

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  18. The digit in the unit place of the number (183)!+3^183 is

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  19. The equation of diameter of a circle passing through origin is x+y=1 a...

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  20. Mutually perpendicular tangents TA and TB are drawn to y^2=4a x . Then...

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