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The locus of the point of intersection of perpendicular tangents to the circles `x^(2)+y^(2)=a^(2)` and `x^(2)+y^(2)=b^(2)` , is

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ALLEN-TEST PAPER-Chemistry
  1. Statement-1: y+b=m(1) (x+a) and y+b=m(2)(x+a) are perpendicular tangen...

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  2. The locus of the point of intersection of perpendicualr tangents to th...

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  3. The locus of the point of intersection of perpendicular tangents to t...

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  4. Find the locus of the point of intersections of perpendicular tangents...

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  5. Find the locus of the point of intersection of the perpendicular tange...

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  6. Find the equation of the system of coaxial circles that are tangent at...

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  7. The locus of the point of intersection of the tangent to the circle x^...

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  8. Prove that the locus of the point of intersection of tangents to the p...

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  9. Let a point P lies inside an equilateral triangle ABC such that its...

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  10. If F(x)=Ax^(2)+Bx+C,and f(x) is integer when x is integer then

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  11. If sin^(2)x - (m - 3)sin x + m=0 "has real roots then which of the fo...

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  12. If x(1),x(2) "are two solutions of" X^(lnx^(2) )=e^(18) "then product...

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  13. The modulus of (1+i)(3+4i)=

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  14. Evaluate i ^19

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  15. If 4sinθ+3cosθ=5 then tanθ=

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  16. The value of 5tan^ 2θ−5sec ^2 θ is :

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  17. 5sinx−12cosx=−13sin3x , if ϕ=sin ^(−1)( 12/13 ) , then

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  18. Show that (√5+i √2)/(√5-i√2) + (√5-i√2)/(√5+i√2) is real.

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  19. If cos(α−β)=1 and cos(α+β)= 1/e , where α, β∈[−π,π]. Then num...

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  20. Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ

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