Q82.If the curves x2 ฮฑ + 4 = 1 and y3 = 16x intersect at right angles, then a value of ฮฑ is : (1) 2 (2) 4 3 (3) 1 (4) 3 2 4
What This Question Tests
This question tests the ability to find slopes of tangents to two implicitly defined curves using differentiation and then apply the condition for perpendicularity at their intersection point.
Concepts Tested
Formulas Used
m1 * m2 = -1 (for perpendicular lines)
Implicit differentiation rules
๐ NCERT Sections This Tests
2.1 โ Two Charges 5 ร 10โ8 C And โ3 ร 10โ8 C Are Located 16 Cm Apart. At
Physics Class 11 ยท Chapter 2
2.1 Two charges 5 ร 10โ8 C and โ3 ร 10โ8 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.
3.16 โ The Rate Constant For A First Order Reaction Is 60 Sโ1. How Much Time Will
Chemistry Class 11 ยท Chapter 3
3.16 The rate constant for a first order reaction is 60 sโ1. How much time will it take to reduce the initial concentration of the reactant to its 1/16th value?
10.5 โ In YoungโS Double-Slit Experiment Using Monochromatic Light Of
Physics Class 12 ยท Chapter 10
10.5 In Youngโs double-slit experiment using monochromatic light of wavelength l, the intensity of light at a point on the screen where path difference is l, is K units. What is the intensity of light at a point where path difference is l/3?
๐ Question Details
- Chapter
- Applications of Derivatives
- Topic
- Tangents and Normals
- Year
- 2013
- Shift
- 23 Apr Online
- Q Number
- Q82
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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