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Mathematics - Ellipse

Practise 13 KVPY previous year questions on Ellipse, compiled from papers spanning 2010 to 2020. 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 x 2 a 2 + y 2 b 2 = 1 ( b a ) , be an ellipse with major axis A B and minor axis C D . Let F 1 and F 2 be its two foci, with A , F 1 , F2020 (SB/SX)
  2. 2For 0 2 , four tangents are drawn at the four points 3 cos , 2 sin to the ellipse x 2 9 + y 2 4 = 1 . If A denotes the area of the quadrilat2018 (SB/SX)
  3. 3Let x 2 a 2 + y 2 b 2 = 1 , a b be an ellipse with foci F 1 and F 2 Let A O be its semi-minor axis, where O is the centre of the ellipse. Th2018 (SB/SX)
  4. 4Let x 2 = 4 k y , k 0 be a parabola with vertex A . Let B C be its latusrectum. An ellipse with centre on B C touches the parabola at A , an2018 (SB/SX)
  5. 5An ellipse with its minor and major axis parallel to the coordinate axes passes through and . One of its foci lies on the y-axis. The eccent19 Nov, 2017 (SB/SX)
  6. 6Consider a rigid square as in the figure with and on the and y axis respectively. When A and B slide along their respective axes, the locus 19 Nov, 2017 (SB/SX)
  7. 7An ellipse and the parabola are such that the two foci of the ellipse and the end points of the latus rectum of parabola are the vertices of19 Nov, 2017 (SB/SX)
  8. 8In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi-minor axis is , then the length of its semi2014 (SB/SX)
  9. 9An ellipse inscribed in a semi-circle touches the circular are at two distinct points and also touches the bounding diameter. its major axis2014 (SB/SX)
  10. 10Let be a variable point on the curve . Then is -2012 (SB/SX)
  11. 11Consider the conic . Suppose is any point on the conic and are the foci of the conic, then the maximum value of is2012 (SB/SX)
  12. 12The smallest possible positive slope of a line whose y-intercept is 5 and which has a common point with the ellipse is-2011 (SB/SX)
  13. 13Let be an arbitrary point on the ellipse Suppose and are the foci of the ellipse. The locus of the centroid of the triangle as moves on the 2010 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 13 questions compiled from KVPY papers spanning 2010 to 2020.

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

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

3.Is Ellipse an important chapter for KVPY Mathematics?

Ellipse has appeared in 7 of the 11 years of KVPY papers covered here, with 13 questions across 7 papers - about 2 per paper it appears in.