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Mathematics - Parabola

Practise 9 KVPY previous year questions on Parabola, compiled from papers spanning 2010 to 2017. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KVPY tests.

  1. 1Let be the latus rectum of the parabola in the -plane. Let be the region bounded by the finite arc of the parabola and the line segment . A 19 Nov, 2017 (SB/SX)
  2. 2Suppose the parabola , with vertex , passes through and . Let be an end point of the latus rectum. Let the y-axis intersect the axis of the 2016 (SB/SX)
  3. 3Suppose the tangent to the parabola at has slope Then equals2016 (SB/SX)
  4. 4Suppose is a rectangle in the -plane where o is the origin and lie on the parabola . Then must lie on the curve.2015 (SB/SX)
  5. 5Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true2014 (SB/SX)
  6. 6The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line If the third vertex of the triangle l2013 (SB/SX)
  7. 7In the -plane, three distinct lines concur at a point . Further the lines are normals to the parabola at the points respectively. Then we ha2011 (SB/SX)
  8. 8The locus of the point where are real numbers such that the roots of are in arithmetic progression is-2011 (SB/SX)
  9. 9A circle touches the parabola at and also touches its directrix. The -coordinates of the point of contact of the circle and the directrix is2010 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Parabola?

This chapter includes 9 questions compiled from KVPY papers spanning 2010 to 2017.

2.Are these questions only from KVPY, or from other exams too?

These are KVPY questions specifically for the Parabola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Parabola an important chapter for KVPY Mathematics?

Parabola has appeared in 7 of the 11 years of KVPY papers covered here, with 9 questions across 7 papers - about one per paper it appears in.