Q63.If P is a point on the parabola y = x2 + 4 which is closest to the straight line y = 4x −1, then the co- ordinates of P are: (1) (−2, 8) (2) (1, 5) (3) (2, 8) (4) (3, 13)
What This Question Tests
The question requires finding a point on a parabola where the tangent is parallel to a given line, testing the application of derivatives for tangents.
Concepts Tested
Formulas Used
dy/dx
Slope of parallel lines are equal
📚 NCERT Sections This Tests
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2.1 Two charges 5 × 10–8 C and –3 × 10–8 C are located 16 cm apart. At what point(s) on the line joining the two charges is the electric potential zero? Take the potential at infinity to be zero.
9.8 — A Beam Of Light Converges At A Point P. Now A Lens Is Placed In The
Physics Class 12 · Chapter 9
9.8 A beam of light converges at a point P. Now a lens is placed in the path of the convergent beam 12cm from P. At what point does the beam converge if the lens is (a) a convex lens of focal length 20cm, and (b) a concave lens of focal length 16cm?
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Tangents and Normals
- Year
- 2021
- Shift
- 24 Feb Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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