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Most Important Selected Qs for JEE AdvancedMathematicsParabola

A parabola C whose focus is S(0,0) and passing through P(3,4) . Equation of tangent at P to parabola is 3 x+4 y-25=0 . A chord through S parallel to tangent at P intersects the parabola at A and B . Which of the following are CORRECT ?

Options

  1. ALength of A B is 20 units
  2. BLatus rectum of parabola is 20 units
  3. COnly one real normal can be drawn from the point ( -3,-4 )
  4. DOnly one real normal can be drawn from the point (-6,-8)

Correct answer

C. Only one real normal can be drawn from the point ( -3,-4 )

Step-by-step solution

The tangent 3 x+4 y-25=0 is tangent at vertex and axis is 4 x-3 y=0 So, PS = a =5 Latus rectum = AB =20

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