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Statement-1:If the line y=x+c intersects...

Statement-1:If the line y=x+c intersects the circle `x^2+y^2=r^2` in two real distinct points then `-rsqrt2 lt c lt r sqrt2`
Statement -2: If two circles intersects at two distinct points then `C_1C_2 lt r_1+r_2`

A

Statement-1 is True , Statement -2 is true , Statement -2 is a correct explanation for Statement-1

B

Statement-1 is True , Statement -2 is true , Statement -2 is NOT a correct explanation for Statement-1

C

Statement -1 is True , Statement -2 is False

D

Statement-1 is False , Statement-2 is True

Text Solution

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The correct Answer is:
B
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FIITJEE-CIRCLE-Assignment Problems (Objective) Level -I
  1. If the length of the tangents from any point on the circle 15x^(2)+15y...

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  2. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

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  3. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

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  4. The centers of a set of circles, each of radius 3, lie on the circle x...

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  5. The chords of contact of the pair of tangents drawn from each point on...

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  6. Equation of a circle S(x,y)=0 , (S(2,3)=16) which touches the line 3x+...

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  7. Find the number of common tangents that can be drawn to the circles...

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  8. Equation of the straight line meeting the cirle with centre at origin ...

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  9. If y=f(x)=ax+b is a tangent to circle x^2+y^2+2x+2y-2=0 then the value...

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  10. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

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  11. Three parallel chords of a circle have lengths 2,3,4 units and subtend...

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  12. A variable point P is on the circle x^2+y^2=1 on XY-plane. From point...

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  13. The equation of chord AB of the circle x^2+y^2=r^2 passing through t...

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  14. Two circle S1=0,S2=0 of equal radius 'r' intersect such that one circl...

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  15. Two circles are given as x^2+y^2+14x-6y+40=0 and x^2+y^2-2x+6y+7=0 wi...

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  16. A variable line ax+by+c=0 , where a, b, c are in A.P. is normal to a c...

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  17. Let BC to be chord of contact of the tangents from a point A to the ci...

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  18. A circle (x-2)^2+(y-3)^2=16 is given for which two lines L1:2x+3y=7 a...

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  19. Statement-1:If the line y=x+c intersects the circle x^2+y^2=r^2 in two...

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  20. Statement-1: The circle of smallest radius passing through two given p...

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