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the equation to the director circle of `(x^2)/6+(y^2)/4=1` is

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Find the equation of the diameter of the circle x^(2) + y^(2) - 4x + 6y + 9 = 0 which passes through the point (1, -2).

Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 which are parallel to the straight line 4x+3y+5=0

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 4x + 6y + 4 = 0 and passing through the point (2, -2).

Find the equation of the concentric- cricle of the circle x^2 + y^2 — 5x+4y=1, which touches the straight line 4x - 3y = 6.

Find the length of the chord of contact with respect to the point on the director circle of circle x^2+y^2+2a x-2b y+a^2-b^2=0 .

Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0 is of the form y=m(x-1)+3sqrt(1+m^2)-2.

Find the equation to the common chord of the two circles x^(2) + y^(2) - 4x + 6y - 36 = 0 and x^(2) + y^(2) - 5x + 8y - 43 = 0 .

Find the equation of the circle concentric with the circle x^(2) + y^(2) + 4x - 6y - 13 = 0 and passing through the centre of the circle x^(2) + y^(2) - 8x - 10y - 8 = 0 .

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.

Find the parametric equation of the circle x^(2) + y^(2) + 4x - 8y - 5 = 0 .

CENGAGE PUBLICATION-APPLICATION OF INTEGRALS-All Questions
  1. The area bounded by the curves y=sqrt(x),2y+3=x , and x-axis in the 1s...

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  2. Find the area bounded by y=tan^(-1)x , y=cot^(-1)x ,and y-axis in the...

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  3. the equation to the director circle of (x^2)/6+(y^2)/4=1 is

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  4. Find the area bounded by y=loge x , y=-loge x ,y=loge(-x),a n dy=-loge...

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  5. The area of region for which 0 lt y lt 3 - 2x-x^2 and x gt 0 is

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  6. The area common to regions x^2+y^2-2xlt=0 and ygeq sin (pix/2)

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  7. Draw the rough sketch of the curve y=x^(4)-x^(2).

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  8. f(x) is a continuous and bijective function on Rdot If AAt in R , the...

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  9. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

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  10. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

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  11. Find the value of a where (a >2) for which the reciprocal of the area ...

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  12. if A1,A2,A3,....A100 are set of A1 sub A2 sub A3 sub A4.....sub A100 n...

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  13. Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by t...

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  14. Each question has four choices a,b,c and d, out of which only one i...

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  15. If A1,A2, A3,..are sets such that n(Ai)=101-i, A1 sup A2 sup A3 sup .....

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  16. Let A(k) be the area bounded by the curves y=x^2-3 and y=k x+2 (a) T...

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  17. int (ax^2+bx+c)dx =

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  18. Find a continuous function f, where (x^(4)-4x^(2))lef (x) le (2x^(2)-x...

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  19. The parabolas y^2=4xa n dx^2=4y divide the square region bounded by th...

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  20. Statement 1 : The area bounded by parabola y=x^2-4x+3a n dy=0 is 4/3 s...

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