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If the line a x+b y=2 is a normal to the...

If the line `a x+b y=2` is a normal to the circle `x^2+y^2+4x+4y=0` and a tangent to the circle `x^2+y^2=1` , then a and b are

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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  2. Find the locus of the center of the circle touching the circle x^2+y^2...

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  3. If the line a x+b y=2 is a normal to the circle x^2+y^2+4x+4y=0 and a ...

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  4. If a line segement A M=a moves in the plane X O Y remaining parallel t...

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  5. The ends of a quadrant of a circle have the coordinates (1, 3) and (3,...

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  6. The tangents to x^2+y^2=a^2 having inclinations alpha and beta inte...

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  7. If the length of a common internal tangent to two circles is 7, and th...

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  8. If C1,C2,a n dC3 belong to a family of circles through the points (x1,...

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  9. Two circle are externally tangent. Lines PAB and P A 'B ' are common t...

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  10. Prove that quadrilateral A B C D , where A B-=x+y-10 ,B C-=x-7y+50=0,C...

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  11. Statement 1 : Let S1: x^2+y^2-10 x-12 y-39=0, S2 x^2+y^2-2x-4y+1=0 an...

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  12. Find the locus of the midpoint of the chords of the circle x^2+y^2-ax-...

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  13. Let the lines (y-2)=m1(x-5) and (y+4)=m2(x-3) intersect at right angle...

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  14. A variable circle passes through the point A(a ,b) and touches the x-a...

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  15. Find the equation of the circle if the chord of the circle joining (1,...

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  16. Find the equation of the circle which passes through (1, 0) and (0, 1)...

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  17. Tangents are drawn from the origin to the circle x^2+y^2-2h x-2h y+h^2...

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  18. Let A (-2,-2)and B (2,2) be two points AB subtends an angle of 45^@ at...

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  19. Consider the family of circles x^2+y^2-2x-2lambday-8=0 passing throug...

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  20. If a circle passes through the point (0,0),(a ,0)a n d(0, b) , then fi...

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