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The equation 3x^2+4y^2-18x+16 y+43=k re...

The equation `3x^2+4y^2-18x+16 y+43=k` represents an empty set, if `k<0` represents an ellipse, if `k >0` represents a point, if `k=0` cannot represent a real pair of straight lines for any value of `k`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Let P(a sectheta, btantheta) and Q(asecphi , btanphi) (where theta+p...

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  2. The line 2x + y = 1 is tangent to the hyperbola x^2/a^2-y^2/b^2=1. I...

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  3. The equation 3x^2+4y^2-18x+16 y+43=k represents an empty set, if k<0 ...

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  4. If a ray of light incident along the line 3x+(5-4sqrt2)y=15 gets refle...

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  5. If the sum of the slopes of the normal from a point P to the hyperbola...

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  6. A normal to the hyperbola (x^2)/4-(y^2)/1=1 has equal intercepts on th...

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  7. The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 from w...

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  8. If tangents P Qa n dP R are drawn from a variable point P to thehyperb...

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  9. The locus of a point, from where the tangents to the rectangular hyp...

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  10. The tangent at a point P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

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  11. Show that midpoint of focal chords of a hyperbola (x^(2))/(a^(2))-(y^(...

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  12. The curve for which the length of the normal is equal to the length ...

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  13. A tangent drawn to hyperbola x^2/a^2-y^2/b^2 = 1 at P(pi/6) froms a t...

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  14. The equation of the transvers axis of the hyperbola (x-3)^2+(y+1)^2=(4...

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  15. If a variable line has its intercepts on the coordinate axes e and e^(...

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  16. The locus of the point which is such that the chord of contact of ta...

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  17. The angle between the lines joining the origin to the points of inters...

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  18. The equation of the chord joining two points (x(1),y(1)) and (x(2),y(2...

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  19. If P(x1,y1),Q(x2,y2),R(x3,y3) and S(x4,y4) are four concyclic points...

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  20. Suppose the circle having equation x^(2)+y^(2)=3 intersects the rectan...

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