Q82.The slope of the line touching both the parabolas y2 = 4x and x2 = −32y is (1) 1 (2) 2 8 3 (3) 1 (4) 3 2 2 x dx, is equal to
What This Question Tests
This question tests the ability to apply the standard forms of tangent equations for two different parabolas and solve for the common slope.
Concepts Tested
Formulas Used
Equation of tangent to y² = 4ax: y = mx + a/m
Condition for tangency (D=0)
📚 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.
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
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 parabolas
- Year
- 2014
- Shift
- 06 Apr
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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