JEE Exam > JEE Questions > A tangent having slope of _to the ellipse+= 1...
Start Learning for Free
A tangent having slope of _
to the ellipse
to the ellipse
+ 
= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC is- a)12 sq. units
- b)24 sq. units
- c)36 sq. units
- d)48 sq. units
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A tangent having slope of _to the ellipse+= 1 intersects the major &am...
Since the major axis is along the y-axis.
∴ Equation of tangent is x = my + [b2m2 + a]1/2
Slope of tangent = 1/m = −4/3
⇒ m = −3/4
Hence, equation of tangent is 4x+3y=24 or
x/6 + y/8 = 1
Its intercepts on the axes are 6 and 8.
Area (ΔAOB) = 1/2×6×8
= 24 sq. unit
∴ Equation of tangent is x = my + [b2m2 + a]1/2
Slope of tangent = 1/m = −4/3
⇒ m = −3/4
Hence, equation of tangent is 4x+3y=24 or
x/6 + y/8 = 1
Its intercepts on the axes are 6 and 8.
Area (ΔAOB) = 1/2×6×8
= 24 sq. unit
Most Upvoted Answer
A tangent having slope of _to the ellipse+= 1 intersects the major &am...
Community Answer
A tangent having slope of _to the ellipse+= 1 intersects the major &am...
Since the major axis is along the y-axis.
∴ Equation of tangent is x = my + [b2m2 + a]1/2
Slope of tangent = 1/m = −4/3
⇒ m = −3/4
Hence, equation of tangent is 4x+3y=24 or
x/6 + y/8 = 1
Its intercepts on the axes are 6 and 8.
Area (ΔAOB) = 1/2×6×8
= 24 sq. unit
∴ Equation of tangent is x = my + [b2m2 + a]1/2
Slope of tangent = 1/m = −4/3
⇒ m = −3/4
Hence, equation of tangent is 4x+3y=24 or
x/6 + y/8 = 1
Its intercepts on the axes are 6 and 8.
Area (ΔAOB) = 1/2×6×8
= 24 sq. unit
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer?
Question Description
A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer?.
A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A tangent having slope of _to the ellipse+= 1 intersects the major & minor axes in points A & B respectively. If C is the centre of the ellipse then the area of the triangle ABC isa)12 sq. unitsb)24 sq. unitsc)36 sq. unitsd)48 sq. unitsCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup