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Equation of circle Re(z^2)+2(img(z))^2+2...

Equation of circle `Re(z^2)+2(img(z))^2+2Re(z)=0` where `z=x+iy` .A line passes through the vetex of parabola `x^2-6x+y+13=0` and center of circle, then the y intercept of the line is _____?

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
  1. Let n in N and [x] denote the greatest integer less than or equal to ...

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  2. Consider the function {:( f(x) (P(X))/(sin (x-2)), x ne 2 ),(=7,x=2)...

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  3. Equation of circle Re(z^2)+2(img(z))^2+2Re(z)=0 where z=x+iy .A line p...

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  4. If a rectangle is inscribed in an equilateral triangle of side length ...

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  5. If (veca + 3 vecb) is perpendicular to ( 7 veca - 5 vecb) and ...

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  6. Let a curve y = f(x) pass through the point (2, (loge 2)^2) and have...

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  7. If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4...

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  8. A coin is tossed n times, if the probability of getting at least one h...

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  9. If the coefficients of x^(7) and x^(8) in the expansion of (2+(x)/(3))...

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  10. If the lines (x-k)/(1) = (y-2)/(2) = (z-3)/(3) and (x+1)/(3) = (y ...

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  11. For real numbers alpha and beta, consider the following system of line...

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  12. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(...

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  13. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  14. Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]

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  15. Let f(x)= |(sin^(2)x,-2+cos^(2)x,cos2x),(2+sin^(2)x,cos^(2)x,cos2x),(s...

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  16. Let F:[3,5] rarr R be a twice differentiable function on (3,5) such th...

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  17. Let a plane p passes through the point (3,7,-7) and contain the line ,...

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  18. Let S= {1,2,3,4 5,6, 7}. Then the number of possible functions f: S ra...

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  19. If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equ...

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  20. Let f: [0,3] rarr R be defined by f(x)= "min" {x-[x], 1+[x]-x} where [...

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