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The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these?
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The slope of the tangent to the curve y=x^2-2 at the point, where the ...
Solution:
Given, y=x^2-2 and y=2
We need to find the slope of the tangent to the curve at the point where the line y=2 cuts the curve in the 1st quadrant.
Let us first find the point of intersection of y=x^2-2 and y=2
2=x^2-2
x^2=4
x=±2
Since we are interested in the 1st quadrant, x=2
Therefore, y=2^2-2=2
Hence, the point of intersection is (2,2)
Differentiating the curve y=x^2-2:
y=x^2-2
dy/dx=2x
At x=2, dy/dx=2(2)=4
Therefore, the slope of the tangent to the curve at (2,2) is 4.
Answer:
Hence, the option (a) 2 is not correct and option (d) none of these is not correct.
Therefore, the correct option is (b) 3.
Given, y=x^2-2 and y=2
We need to find the slope of the tangent to the curve at the point where the line y=2 cuts the curve in the 1st quadrant.
Let us first find the point of intersection of y=x^2-2 and y=2
2=x^2-2
x^2=4
x=±2
Since we are interested in the 1st quadrant, x=2
Therefore, y=2^2-2=2
Hence, the point of intersection is (2,2)
Differentiating the curve y=x^2-2:
y=x^2-2
dy/dx=2x
At x=2, dy/dx=2(2)=4
Therefore, the slope of the tangent to the curve at (2,2) is 4.
Answer:
Hence, the option (a) 2 is not correct and option (d) none of these is not correct.
Therefore, the correct option is (b) 3.
Community Answer
The slope of the tangent to the curve y=x^2-2 at the point, where the ...
B) 3
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The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these?
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The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these?.
The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The slope of the tangent to the curve y=x^2-2 at the point, where the line y=2 cuts the curve in the 1st quadrant, is (a) 2 (b)3 (c)-3 (d)none of these?.
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