2. Notes
  3. JEE Main & Advanced
  4. Mathematics
  5. Conic Sections
  6. Relation Between \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] and \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\] if Normal at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] Meets the Parabola Again at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\]

JEE Main & Advanced Mathematics Conic Sections Relation Between \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] and \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\] if Normal at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] Meets the Parabola Again at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\]

Relation Between \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] and \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\] if Normal at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}\] Meets the Parabola Again at \[\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}\]

Category : JEE Main & Advanced

If the normal at the point \[P(at_{^{1}}^{2},2a{{t}_{1}})\] meets the parabola \[{{y}^{2}}=4ax\] again at \[(at_{2}^{2},2a{{t}_{2}})\],    

   

then \[{{t}_{2}}=-{{t}_{1}}-\frac{2}{{{t}_{1}}}\].  

keyboard_arrow_leftPoint of Intersection of Normals at Any Two Points on The Parabola
Co-normal Points keyboard_arrow_right

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