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Q57) If the circle x^2+y^2+2ax+cy+a=0 an...

Q57) If the circle `x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 `intersect at two distinct points Pand Q, then the line 5x+by-a=0 will pass through P and Q for A. No values of a B. Exactly one value of a C. Exactly two values of a D. Infinitely many value of a

A

exactly one value of a

B

no value of a

C

infinitely many values of a

D

exactly two values of a

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The correct Answer is:
B
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DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
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  2. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

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  3. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

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  4. A rod AB of length 15 cm rests in between two coordinate axes in su...

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  5. Find the area of the triangle formed by the lines joining the vertex o...

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  6. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

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  7. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

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  8. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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  9. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

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  10. The equation of the conic with focus at (1,-1), directrix along x -y +...

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  11. The equation of one of the common tangent to the parabola y^(2) = 8x a...

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  12. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

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  13. The number of points of intersection of the two curves y=2 sin x and...

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  14. The equation of the ellipse with its centre at (1, 2), focus at (6, 2)...

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  15. A normal chord of the parabola y^2=4ax subtends a right angle at the v...

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  16. Area of the greatest rectangle that can be inscribed in the ellipse x^...

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  17. The line ax + by = 1 cute ellipse cx^(2) + dy^(2) = 1 only once if

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  18. The line passing through the extremity A of the major exis and extremi...

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  19. The locus of he middle points of the chords of the ellipse x^(2)/a^(2)...

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  20. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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