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Let C be the locus of the circumcentre o...

Let C be the locus of the circumcentre of a variable traingle having sides Y-axis ,y=2 and ax+by=1, where (a,b) lies on the parabola `y^2=4lamdax`.
For `lamda=1/32`, the length of smallest focal chord of the curve C is

A

`8/3`

B

2

C

4

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PARABOLA-Exercise (Passage Based Questions)
  1. Consider a parabola P touches coordinate axes at (4,0) and (0,3). Eq...

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  2. Let C be the locus of the circumcentre of a variable traingle having s...

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  3. Let C be the locus of the circumcentre of a variable traingle having s...

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  4. The locus of the circumcenter of a variable triangle having sides the ...

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  5. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  6. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  7. Consider a parabola x^2-4xy+4y^2-32x+4y+16=0. The focus of the parab...

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  8. If l and m are variable real number such that 5l^(2)+6m^(2)-4lm+3l=0, ...

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  9. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

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  10. IF l and m are variable real numbers such that 5l^2-4lm+6m^2+3l=0, the...

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  11. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  12. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  13. C1 is a curve y^2=4x,C2 is curve obtained by rotating C1,120^@ in anti...

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  14. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  15. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  16. Tangent to the parabola y=x^(2)+ax+1 at the point of intersection of t...

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  17. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  18. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  19. A parabola (P) touches the conic x^2+xy+y^2-2x-2y+1=0 at the points w...

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  20. y=3x is tangent to the parabola 2y=ax^2+b. The minimum value of a+b i...

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