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find the eqn of lines through (0,0) and at unit distance from point (2,1) ...
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find eqn. of normal to circle x2+y2-8x-12y+2=0 at point (-1,1) ...
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find the no. of tangents that can be drawn from a point (4,4) to the circle x2+y2-4x+6y+10=0 ...
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find eqn of tangent to circle x2+y2=16 at a point which is at angle of 60° with x-axis ...
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find eqn of tangent to circle x2+y2-2x-4y-20=0 at point (5,5) ...
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find eqn. of tangent to the circle x2+y2=25 at point (3,4) ...
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for what vlaue of λ eqn. x+2y+λ=0 is tangent to circle x2+y24x-6y+8=0 ...
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find the eqn of circle whose pair of normals are ax2+2hxy+by2=0 and the radius is 4 ...
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find the eqn of circle whose centre is origin and a tangent is 3x+4y-25=0 ...
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find the intercept cut by the circle x2+y2+10x+16y+16=0 on x-axis ...
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find the eqn of circle passes through the points (2,-2), (3,√3) & (1,-√3) ...
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the two tangents of a circle are x-y+1=0 & x-y-1=0 and the eqn. of a normal is x+y-3=0 find the eqn. of circle ...
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find eqn of circle, the coordinates of the end points of diameter are (-1,1) & (1,3) ...
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find the radius of circle whose eqn is x2+y2+8x+10y+5=0 ...
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find the eqn. of circle whose two tangents are y=4 & y=2 and eqn of a normal is x-y+2=0 ...
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find the eqn of circle centered at origin and of radius 4 ...
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S= 1 + (1+b)r + (1+b+b2)r2 + ..............................infinity find S (assume convergence) ...
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91/3. 91/9. 91/27. 91/81........................... ...
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For two numbers AM = GM + 2, a/b=4. Find a ...
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a,b,c,d are in GP For the statements which are (is) true? (i) (a-b)2, (b-c)2, (c-d)2 are in GP (ii) a2 + b2 + c2, ab + bc + ca, b2 + c2 + d2 are in GP (iii) a2-b2, b2-c2, c2-d2 are in GP (iv) 1/(a3+b3), 1/(b3+c3), 1/(c3+d ...
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S= (1/2 + 1/4 + 1/8 + .....) + (1/4 + 1/8+ 1/16 + .....) + (1/8 + 1/16 + 1/32 + .....) ++............................... ...
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sum of an infinite GP is 2 Sum of Squares of the same infinite GP is 4/3 find the sum of the cubes of the GP. ...
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find n + n/(n+1) + n/(n+1)2 + n/(1+n)3 + ....... ...
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a,b,c,d are in GP (b-c)2+(c-a)2+(d-b)2= ...
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find the area of triangle formed by x2-y2+2x+1=0 & x=3 ...
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find the eqn of line passing through the point of intersection of the lines x+y+2=0 & 2x+3y+4=0 at distance √2 from origin ...
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find the point of intersection of the pair of lines represented by 12x2-12y2+7xy-31x+17y+7=0 ...
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find the angle between the lines represented by 2x2+2y2+5xy+7x+5y+3=0 ...
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find the eqn. of bisectors of angle between the lines 2x2-8xy+y2=0 ...
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find the angle between the pair of straight lines x2+4xy+y2=0 ...