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Show that the locus of the pt of interse...

Show that the locus of the pt of intersection of the st.lines `xcostheta+ysintheta=a`and `xsintheta-ycostheta=b`is a circle.

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Prove that for all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

If theta is a variable and a is contant , then find the locus of the point of intersection of the lines xcostheta+ysintheta=aand xsintheta-ycostheta=a .

Whatever be the values of theta , prove that the locus of a point of intersection of the lines x cos theta + y sin theta = a and x sin theta - y cos theta = b is a circle.

If theta is a variable and a,b are constants then find the locus of the point of intersection of the lines xsintheta+ycostheta=aandxcostheta-ysintheta=b .

Show that the locus of the point of intersection of the lines x cos alpha + y sin alpha = a and x sin alpha - y cos alpha = a , when alpha varies, is a circle.

Whatever be the values of theta , prove that the locus of the point of intersection of the straight lines y = x tan theta and x sin^(3) theta + y cos theta = a sin^(3) theta cos theta is a circle. Find the equation of the circle.

Find the locus of the point of intersection of lines xcosalpha+ysinalpha=a and xsinalpha-ycosalpha=b(alpha is a variable).

For the variable t, the locus of the points of intersection of lines x-2y=t and x+2y=(1)/(t) is

Prove that the locus of the mid - point of the portion of the line segment made by the straigh line xcostheta+ysintheta=p upon the coordinate axes is p^(2)(x^(2)+y^(2))=4x^(2)y^(2) .

UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
  1. If (2^(2n)-1)is division by 3,then show that [2^(2(n+1))-1]is also div...

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

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

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

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

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  6. Evaluate :lim(xrarry)(cos^2x-cos^2y)/(x^2-y^2)

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  7. If y = sqrt(x+sqrt(x+sqrt(x+* * * infty))) then (dy)/(dx)=

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  8. Prove that Axx(BcupC)=(AxxB)cup(AxxC)

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  9. If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...

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  10. If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...

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  11. For all n ge 1 prove that (1)/(1.2)+ (1)/(2.3)+(1)/(3.4)+.....+(1)/...

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  12. Show that 1 is a root of a(b-c)x^2+b(c-a)x+c(a-b)=0.Hence show that if...

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  13. Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

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  14. Find the term inedpendent of X in the expansion of (1+x)^3(1-1/x)^6

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  15. A moving st.line always passes through a fixed pt.(alpha,beta).Prove t...

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  16. Find the image of the pt.(-3,-1)with respect to the st.line 2x+3y+22=0

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  17. Find equations of all possible circles that touch the y axis at the po...

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  18. Find the equation of the circles which touche the y axes id and passes...

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  19. Show that lim(xrarr1)(1-x)tan((pix)/2)=2/pi

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  20. If 2f(x)+3f(-x)=x^2-x-1,then find f'(1).

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