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Center of the circle `x^(2) + y^(2) - 6x + 4y - 12 = 0` is -

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Center of the circle x^(2) + y^(2) - 4x + 6y - 12 = 0 is -

A circle through the common points of the circles x^(2) + y^(2) - 2x - 4y + 1 = 0 and x^(2) + y^(2) - 2x - 6y + 1 = 0 has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

Find the equation of the circles which passes through the origin and the points of intersection of the circles x^(2) + y^(2) - 4x - 8y + 16 = 0 and x^(2) + y^(2) + 6x - 4y - 3 = 0 .

Prove that the centres of the three circles x^(2) + y^(2) - 2x + 6y + 1 = 0, x^(2) + y^(2) + 4x - 12y + 9 = 0 and x^(2) + y^(2) - 16 = 0 are collinear.

Find the equation to the circle described on the common chord of the circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 as diameter.

Prove that the circles x^(2) + y^(2) - 2x - 4y - 12 = 0 and 3x^(2) + 3y^(2) - 2x + 4y - 140 = 0 touch each other. Find the coordinates of the point of contact.

Find the equation of the common chord of the two circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 and show that this chord is perpendicular to the line joining the two centres.

Determine the positions of the points (-1, 2) with respect to the circle x^(2) + y^(2) - 4x + 6y + 4 = 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 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 .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2009-MULTIPLE CHOICE QUESTIONS
  1. The co-ordinates of the foot of the perpendicular from (0, 0) upon the...

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  2. If A is a square matrix then,

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  3. Center of the circle x^(2) + y^(2) - 6x + 4y - 12 = 0 is -

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  4. If A^(2)-A+I=0 then the inverse of the matrix A is

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  5. If C is the reflection of A (2, 4) in x-axis and B is the reflection o...

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  6. The value of cos15^(@)cos7(1^(@))/(2)sin7(1^(@))/(2) is

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  7. The value of integral int(-1)^(1)(|x+2|)/(x+2)dx is

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  8. The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in ...

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  9. General solutio of sin x+cos x=min(a in R) {1,a^(2)-4a+6} is

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  10. If A and B ar square matrices of the same order and AB=3I, =then A^(-...

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  11. The co-ordinates of the focus of the parabola described paraetrically...

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  12. For any two sets A and B, A-(A-B) equals

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  13. If a=2sqrt2,b=6,A=45^(@) then

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  14. A Mapping from IN to N is defined as follows: f:lNtolN f(n)=(n+5)^(...

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  15. If in a triangle ABC,sin^2A+sin^2B+sin^2C=2 then the triangle is alway...

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  16. int(dx)/(sinx+sqrt3cosx)

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  17. The value of (1+cospi//6)(1+cospi//3)(1+cos2pi//3)(1+cos7pi//6) is

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  18. If P=(1)/(2)sin^(2)theta+(1)/(3)cos^(2)theta then

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  19. int(dx)/(sinx+cosx) equals

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  20. If f(x)=f(a-x) then int(0)^(a)xf(x)dx is equal to

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