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Mathematics - Straight Lines

Practise 21 KVPY previous year questions on Straight Lines, compiled from papers spanning 2011 to 2019. 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 S be a subset of the plane defined by S = x , y : | x | + 2 | y | = 1 . Then, the radius of the smallest circle with centre at the origi2019 (SB/SX)
  2. 2Let A B be a line segment with mid-point C and D be the mid-point of A C . Let C 1 be the circle with diameter A B and C 2 be the circle wit2019 (SB/SX)
  3. 3Consider the set A n of points x , y such that 0 x n , 0 y n where n , x , y are integers. Let S n be the set of all lines passing through a2018 (SB/SX)
  4. 4Consider four triangles having sides and . Among these, the triangle having maximum areahas sides19 Nov, 2017 (SA)
  5. 5Let be an acute scalene triangle, and and be its circumcentre and orthocenter respectively. Further let be the midpoint of OH. The value of 05 Nov, 2017 (SB/SX)
  6. 6Let and be two points in the plane with integer coordinates. Which one of the following is not a possible value of the distance between and 05 Nov, 2017 (SB/SX)
  7. 7Let be a fixed line segment in the plane. The locus of a point such that the triangle is isosceles, is (with finitely many possible exceptio05 Nov, 2017 (SB/SX)
  8. 8Let be a point inside a triangle with . Let and be the images of under reflection in and respectively. The distance between the circumcenter2016 (SA)
  9. 9In a circle with centre , suppose A, P, B are three points on its circumference such that is the mid-point of minor arc . Suppose when , If 2016 (SB/SX)
  10. 10Let let and be points respectively on -axis and -axis such that . Let be a point in the first quadrant such that is an equilateral triangle.2016 (SB/SX)
  11. 11In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles. What is the perimeter of each of the sm2015 (SA)
  12. 12Let be a square of a side length 1 , Let be points in the interiors of the sides , respectively, such that and RS intersect at right angles.2015 (SA)
  13. 13Let . The locus of all points for which the line OP (where is the origin) cuts the line in such that is :2014 (SB/SX)
  14. 14Lets . The number of lines in passing through and exactly one other point in is2014 (SB/SX)
  15. 15Consider a triangle in the -plane with vertices and . If the line divides the triangle into two parts of equal area, then a equals2013 (SB/SX)
  16. 16If are positive real numbers such that the lines ax and are parallel, then the least possible value of is2013 (SB/SX)
  17. 17A frog is presently located at the origin in the xy-plane. It always jumps from a point with integer coordinates to a point with integer coo2011 (SA)
  18. 18Let be two points in the plane. The locus of a point such that the area of triangle is 18 sq. units is -2011 (SB/SX)
  19. 19The maximum possible value of real, subject to the condition2011 (SB/SX)
  20. 20In a rectangle , the coordinates of and are and respectively and some diameter of the circumscribing circle of has equation . Then the area 2011 (SB/SX)
  21. 21All the points in the plane satisfying the equation lie on -2011 (SB/SX)

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 21 questions compiled from KVPY papers spanning 2011 to 2019.

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

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

3.Is Straight Lines an important chapter for KVPY Mathematics?

Straight Lines has appeared in 8 of the 11 years of KVPY papers covered here, with 21 questions across 11 papers - about 2 per paper it appears in.