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STATEMENT-1 : The equation of chord of c...

STATEMENT-1 : The equation of chord of circle `x^(2) + y^(2) - 6x + 10y - 9 = 0`, which is be bisected at `(-2, 4)` must be x + y = 2.
and
STATEMENT-2 : The equation of chord with mid-point `(x_(1), y_(1))` to the circle `x^(2) + y^(2) = r^(2)` is `xx_(1) + yy_(1) = x_(1)^(2) + y^(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

Verified by Experts

The correct Answer is:
D
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION -E ( Assertion-Reason Type Questions )
  1. STATEMENT-1 : The equation of chord of circle x^(2) + y^(2) - 6x + 10y...

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  2. STATEMENT -1 : The farthest point on the circle x^(2) + y^(2) - 2x - 4...

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  3. STATEMENT-1 : The agnle between the tangents drawn from the point (6, ...

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  4. STATEMENT-1 : Let x^(2) + y^(2) = a^(2)and x^(2) + y^(2) - 6x - 8y -11...

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  5. STATEMENT-1 : If n circles (n ge 3), no two circles are non-centric an...

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  6. STATEMENT -1 : if O is the origin and OP and OQ are tangents to the ci...

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  7. STATEMENT-1 : From point (4, 0) three different normals can be drawn t...

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  8. STATEMENT-1 : If normal at ends of double ordinate x = 4 of parabola y...

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  9. STATEMENT-1 : The lines from vertex to the two extremities of a focal ...

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  10. STATEMENT-1 : The length of latus rectum of the parabola (x - y + 2)^(...

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  11. Let S(1) : x^(2) + y^(2) = 25 and S(2) : x^(2) + y^(2) - 2x -2y - 14 =...

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  12. Statement-1 : if P and D be the ends of conjugate diameters then the l...

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  13. STATEMENT-1 : The line y = (b)/(a)x will not meet the hyperbola (x^(2)...

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  14. STATEMENT-1 : Lines 3x - 4y + 7 = 0 and 4x + 3y + 8 = 0 are the asympt...

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  15. STATEMENT-1 : A hyperbola and its conjugate hyperbola have the same as...

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  16. STATEMENT-1 : The line 3x + 4y = 5 intersects the hyperbola 9x^(2) - 1...

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  17. STATEMENT-1 : If lines y = m(1)x and y = m(2)x are the conjugate diame...

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  18. STATEMENT-1 : Tangent at any point P(x(1), y(1)) on the hyperbola xy =...

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