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The slopes of the common tangents of the...

The slopes of the common tangents of the ellipse `(x^2)/4+(y^2)/1=1` and the circle `x^2+y^2=3` are `+-1` (b) `+-sqrt(2)` (c) `+-sqrt(3)` (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

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  3. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

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  4. Find the locus of the midpoints of chords of hyperbola 3x^(2)-2y^(2)+4...

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  5. The coordinates of the vertices Ba n dC of a triangle A B C are (2,...

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  6. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

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  7. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

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  8. Find the condition on a and b for which two distinct chords of the hyp...

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  9. The point of intersection of the tangents at the point P on the ellip...

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  10. Find the equation of the ellipse (referred to its axes as the axes o...

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  11. Tangents are drawn to the ellipse x^2/a^2+y^2/b^2=1 at two points who...

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  12. The sum of the squares of the perpendiculars on any tangents to the ...

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  13. A rod of length 12 cm moves with its ends always touching the coord...

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  14. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

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  15. If alpha-beta= constant, then the locus of the point of intersection o...

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  16. Two circles are given such that one is completely lying inside the ...

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  17. How many real tangents can be drawn from the point (4, 3) to the hy...

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  18. For an ellipse x^2/9+y^2/4=1 with vertices A and A', drawn at the poin...

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  19. The first artificial satellite to orbit the earth was Sputnik I. It...

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  20. Which of the following can be slope of tangent to the hyperbola 4x^2-y...

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