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Conic Sections — NEET Maths MCQs

30 questions written by hand against the NCERT chapter. Every wrong option is explained, not just the right one.

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Sample questions from this chapter

Which equation represents a circle with centre (h, k) and radius r?
  1. (x − h)² + (y − k)² = r² ✓
  2. (x + h)² + (y + k)² = r
  3. (x − h)² − (y − k)² = r²
  4. (x − h) + (y − k) = r²
Answer: A. Every point on the circle is distance r from (h,k), so the squared distance equation is (x−h)²+(y−k)²=r².
Why not B: The coordinate signs are reversed and the right side should be the square of the radius.
Why not C: A difference of squared coordinates describes hyperbolic structure rather than constant Euclidean distance.
Why not D: Distance uses squared coordinate differences, not their unsquared sum.
What is the equation of the circle centred at (2, 2) and passing through (4, 5)?
  1. (x − 2)² + (y − 2)² = 5
  2. (x + 2)² + (y + 2)² = 13
  3. (x − 2)² + (y − 2)² = 13 ✓
  4. (x − 4)² + (y − 5)² = 13
Answer: C. The squared radius is (4−2)²+(5−2)²=13, yielding (x−2)²+(y−2)²=13.
Why not A: Five is the displacement in y plus x rather than the squared distance 2²+3².
Why not B: The radius square is right, but the centre signs incorrectly place it at (−2,−2).
Why not D: This makes the given point the centre instead of a point on the circle.
A circle of radius 5 has its centre on the x-axis and passes through (2, 3). Which equations are possible?
  1. (x + 2)² + y² = 25 or (x − 6)² + y² = 25 ✓
  2. (x − 2)² + y² = 25 or (x + 6)² + y² = 25
  3. x² + (y + 2)² = 25 or x² + (y − 6)² = 25
  4. (x + 2)² + y² = 5 or (x − 6)² + y² = 5
Answer: A. For centre (h,0), (2−h)²+3²=25 gives h=−2 or 6, producing the two equations in A.
Why not B: The candidate centres 2 and −6 come from reversing the displacement equation (h−2)²=16.
Why not C: These place the centres on the y-axis despite the stated x-axis condition.
Why not D: The centre positions are correct, but the circle equation requires r²=25 rather than r=5.

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SetsRelations and FunctionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsLinear InequalitiesPermutations and Combinations

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Questions

How many NEET questions are there on Conic Sections?

This chapter test has 30 questions — 10 easy, 14 medium and 6 hard — all written against the NCERT Class 11 chapter.

Is this NEET Maths chapter test free?

Yes. Every chapter test is free with no login, and you get your all-India rank on every one. Nothing on the site is on sale right now.

Do the questions explain the wrong options?

Yes — every distractor carries its own explanation naming the specific misconception that makes a student pick it. That is the part most question banks skip, and it is the part that changes your next attempt.