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Which of the following line can be tange...

Which of the following line can be tangent to the parabola `y^2=8x ?` `x-y+2=0` (b) `9x-3y+2=0` `x+2y+8=0` (d) `x+3y+12=0`

A

x-y+2=0

B

9x-3y+2=0

C

x+2y+8=0

D

x+3y+12=0

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
1,2,3
The equation of tangent `y^(2)=8x` having slope m is
`y=mx+(2)/(m)`
Options (1), (2), and (3) are tangents for m=1,3, and -1/2, respectively.
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CENGAGE-PARABOLA-Exercise (Multiple)
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  3. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

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  4. Let PQ be a chord of the parabola y^2=4x. A circle drawn with PQ as a...

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  5. If the parabola x^2=ay makes an intercept of length sqrt40 unit on the...

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  6. The equation of the directrix of the parabola with vertex at the origi...

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  7. Tangent is drawn at any point (x1, y1) other than the vertex on the pa...

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  8. The parabola y^2=4x and the circle having its center at 6, 5) intersec...

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  9. Which of the following line can be tangent to the parabola y^2=8x ? x...

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  10. If the line k^(2)(x-1)+k(y-2)+1=0 touches the parabola y^(2)-4x-4y+8=0...

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  11. The equation of the line that touches the curves y=x|x| and x^2+(y^2-2...

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  12. The equations of the common tangents to the parabola y = x^2 and y=-...

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  13. The line x+ y +2=0 is a tangent to a parabola at point A, intersect t...

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  14. Which of the following line can be normal to parabola y^2=12 x ? x+y-...

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  15. A normal drawn to the parabola =4a x meets the curve again at Q such t...

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  16. A circle is drawn having centre at C (0,2) and passing through focus ...

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  17. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

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  18. Let C1 and C2 be parabolas x^2 = y - 1 and y^2 = x-1 respectively. Let...

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  19. The value(s) of a for which two curves y=ax^(2)+ax+(1)/(24)andx=ay^(2)...

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  20. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

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