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Find the equation of the st.line which p...

Find the equation of the st.line which pass through the pt(3,1) and perpendciular to the line joining (-1,1)and (0,-1).

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Find the equation of the plane passing through the point(1,2,1) and perpendicular to the line joining the points (2,3,5) and (1,4,2).

Find the equation of the plane passing through the point A(1,2,1) and perpendicular to the line joining the points P(1,4,2) and Q (2,3,5) . Also , find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1) .

Find the equation of the plane passing through the point (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5). Also find the coordinates of the foot of the perpendicular and the perpendicular distance of the point (4,0,3) from the above found plane.

Find the equation of the line passing through (-3, 5) and perpendicular to the line through the points (2, 5) " and " (-3, 6) .

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines x/2=(y-1)/(-3)=(z+2)/(-2)a n d(x+3)/(-1)=(y+3)/2=(z-1)/3dot

Find the equation of the straight line passing throught the point (3,-4) and parallel to the line joining the points (4,7) and (-5,1).

Find the equation of line passing through the point (1,-2) and parallel with the line x-2y+6=0 .

Find the equation of the line passing through the point(1,2,3) and parallel to the line (x-1)/2=(7-y)/3=-z .

Find the equation of the line passing through (0, 4) and parallel to the line 3x + 5y + 15 = 0

Find the equation of the line passing through (1,1) and parallel to the line 2x-3y+5=0.

UNITED BOOK HOUSE-THE SCOTTISH CHURCH COLLEGIATE SCHOOL-EXERCISE
  1. In the expansion of (x^2+K/x)^6the co-efficient of x^3is 160.what is t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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