Q66.The tangents at the points A(1, 3) and B(1, −1) on the parabola y2 −2x −2y = 1 meet at the point P . Then the area (in unit2 ) of the triangle PAB is: (1) 4 (2) 6 (3) 7 (4) 8 y2
What This Question Tests
This question involves finding the tangents to a given parabola at specific points, determining their intersection point, and then calculating the area of the triangle formed by these points.
Concepts Tested
Formulas Used
Equation of tangent for y^2 = 4ax: yy1 = 2a(x+x1)
Area of triangle using coordinates
📚 NCERT Sections This Tests
2.1 — Two Charges 5 × 10–8 C And –3 × 10–8 C Are Located 16 Cm Apart. At
Physics Class 11 · Chapter 2
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.
2.3 — Two Charges 2 Mc And –2 Mc Are Placed At Points A And B 6 Cm
Physics Class 11 · Chapter 2
2.3 Two charges 2 mC and –2 mC are placed at points A and B 6 cm apart. (a) Identify an equipotential surface of the system. (b) What is the direction of the electric field at every point on this surface?
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?
📋 Question Details
- Chapter
- Parabola
- Topic
- Tangents to a parabola
- Year
- 2022
- Shift
- 25 Jul Shift 2
- Q Number
- Q66
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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