Maths · Sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms

Arrange in the descending order of the values: A: If (9,12) is one end of a foca

Arrange in the descending order of the values: A: If (9,12) is one end of a focal chord of the parabola \( y^{2}=16 x \) then the slope of it is B: The parabola \( x^{2}=p y \) passes through \( (12,16), \) the focal distance of the point is C: If the parabola \( y^{2}=k x \) passes through (9,6) then the value of \( k \) is D: The Ordinate of the point on the parabola \( \boldsymbol{y}^{2}=\mathbf{3 6 x} \) whose ordinate is three times its abscissa is Write the value of the above statements in the descending order

  • A. \( \mathrm{B}, \mathrm{D}, \mathrm{C}, \mathrm{A} \)
  • B. \( \mathrm{B}, \mathrm{D}, \mathrm{A}, \mathrm{C} \)
  • C. \( D, B, C, A \)
  • D. A,B,C,D

Step-by-step solution

Compute values: A: slope of focal chord = 12/5 = 2.4; B: focal distance = 73/4 = 18.25; C: k = 4; D: ordinate = 12. Descending order: B (18.25) > D (12) > C (4) > A (2.4), so B, D, C, A matches option A.
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