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Statement 1 : If from any point P(x1, y1...

Statement 1 : If from any point `P(x_1, y_1)` on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=-1` , tangents are drawn to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1,` then the corresponding chord of contact lies on an other branch of the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=-1` Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola.

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From any point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=2. The area cut-off by the chord of contact on the asymptotes is equal to a/2 (b) a b (c) 2a b (d) 4a b

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From a point on the line x-y+2=0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

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If a point (x_1,y_1) lies in the shaded region (x^2)/(a^2)-(y^2)/(b^2)=1 , shown in the figure, then (x^2)/(a^2)-(y^2)/(b^2)<0 Statement 2 : If P(x_1,y_1) lies outside the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then (x1 2)/(a^2)-(y1 2)/(b^2)<1

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. If alpha+beta=3pi , then the chord joining the points alpha and beta f...

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  3. Statement 1 : If from any point P(x1, y1) on the hyperbola (x^2)/(a^2)...

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  4. Consider the family ol circles x^2+y^2=r^2, 2 < r < 5 . If in the fir...

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  5. Prove that the locus of the point of intersection of the tangents at t...

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  6. If a point (x1,y1) lies in the shaded region (x^2)/(a^2)-(y^2)/(b^2)=1...

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  7. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

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  8. Statement 1 : If a circle S=0 intersects a hyperbola x y=4 at four poi...

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  9. Find the coordinates of the foci  and the centre of the hyperbola ((...

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  10. show that the area of the triangle inscribed in the circle x^(2)/a^(2)...

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  11. Number of points from where perpendicular tangents can be drawn to the...

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  12. On which curve does the perpendicular tangents drawn to the hyperbola ...

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  13. The minimum area of the triangle formed by the tangent to (x^2)/(a^2)+...

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  14. Statement 1 : The equations of tangents to the hyperbola 2x^2-3y^2=...

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  15. P is a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,N is the foot ...

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  16. 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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  17. Statement 1 : Every line which cuts the hyperbola x^2/4-y^2/16=1 at ...

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