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Statement 1 : The curve y=-(x^2)/2+x+1 i...

Statement 1 : The curve `y=-(x^2)/2+x+1` is symmetric with respect to the line `x=1` Statement 2 : A parabola is symmetric about its axis.
a. Both the statements are true and Statements 1 is the correct explanation of Statement 2.
b. Both the statements are true but Statements 1 is not the correct explanation of Statement 2.
c. Statement 1 is true and Statement 2 is false
d. Statement 1 is false and Statement 2 is true

A

Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I

B

Statement I is true, Statement II is true, Statement II is not a corrected explanation for Statement I

C

Statement is true , Statement II is false

D

Statement I is false , Statement II is true

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  2. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

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  3. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  4. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+"...

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  5. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then,

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  6. If a parabola has the origin as its focus and the line x = 2 as the ...

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  7. In a school, there are 30 teachers who teach Mathematics or Physics. O...

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  8. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  9. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  10. Of the 125 students in an elementary school, 89 students play checkers...

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  11. What is the 5th term of this sequence 9, 13, 17, ...?

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  12. In a group of 400 people, 250 can speak Punjabi and 200 can speak Engl...

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  13. If f (x) = a cos (bx + c) + d, then what is the range of f (x)?

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  14. If f (x) = 3x − 5, then inverse of f(x) is

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  15. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  16. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  17. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  18. Evaluate int 28x^2 dx.

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