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The centre of the circle lambdax^2+(2lam...

The centre of the circle `lambdax^2+(2lambda-3)y^2-4x+6y-1=0`is

A

a)(2/3,-1)

B

b)(4/3,-1)

C

c)(-2/3,1)

D

d)(2/3,1)

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UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
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  2. If x=sin^2alpha+cosec^2alpha,then the value of x is

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  3. The centre of the circle lambdax^2+(2lambda-3)y^2-4x+6y-1=0is

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  4. The condition that the points (a,0),(0,b)and (2,2) are collinear is

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  5. Which one is the equation of the directrix of the parabola 3y^2=-4x

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  6. The value of lim(xrarr0)(1-cos4x)/x^2is

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  7. If y=cos^2(x/2)then dy/dx is

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  8. In the expansion of (1+x)^(m+n)the co-efficient of x^mis

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  9. if g(x)=(x-a)/x+x/(x-b)then show that g((a+b)/2)=(4ab)/(a^2-b^2)

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  10. Find the domain of definition of the function f(x)=1/(sqrt(5x-x^2-6))

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  11. If tan(pi/4-theta)=1/2then find sin2theta

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  12. Prove that 2sin(pi/8)=sqrt(2-sqrt2)

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  13. If Z is a complex number |Z+3|le5.then find the greatest and smallest ...

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  14. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  15. In the expansion of (x^2+K/x)^6the co-efficient of x^3is 160.what is t...

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  16. If (2^(2n)-1)is division by 3,then show that [2^(2(n+1))-1]is also div...

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  17. Find the equation of the st.line which pass through the pt(3,1) and pe...

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  18. Show that the locus of the pt of intersection of the st.lines xcosthe...

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  19. Find the focus of the parabola y=x^2+x+1.

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  20. Prove that the derivative of an odd function an ever function .

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