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find the eqn. of line making angle of 15° with the line joining the points (0,0) and (√3,1) and passing through origin. ...
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Find the equation of line passing through the point (1,1) and making an angle of 60° with x-axis in positive direction ...
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Find the foot of perpendicular from a point (2,3) on the line 3x+4y-5=0 ...
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find the eqn of line which is equidistant from the points (-1,0) & (3,3) ...
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Find the distance between the line 4x-3y+9=0 and the point (3,2) ...
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a line mirror is given as l : x+y+3=0, find the reflection of line 2x-y+6=0 in "l" ...
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find the eqn. of fourth side of square whose three sides are given in order as 2x+y-5=0, x-2y-3=0,2x+y-10=0 ...
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find the angle between the lines 4x+7y+28=0 & 7x-4y+28=0 ...
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find a line parallel to 3x+4y+5=0 at a distance 1 from the line on the side which contains origin. ...
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Find eqn. of "n" in above question. ...
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θ is the angle between line l : x+√3y+4=0 and m : x-√3y+4=0. With slope tanθ a line "n" is drawn which is concurrent to "l" and "m". Find the angle between line "m" & "n" ...
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find the angle between the lines 2x-y+5=0 & x-2y+7=0 ...
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∫[(3x+2)/x(x+1)3]dx ...
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∫[1/x(x2+1)]dx ...
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∫[(x5+x4-8)/(x3-4x)]dx ...
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∫[(3x2+x-2)/{(x2+1)(x-1)}]dx ...
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∫[(3x+4)/{(x+1)(x-1)2}]dx ...
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∫[(3x2+5x+7)/{x(x2-1)}]dx ...
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∫[(x2+9x+17)/{(x+3)(x+5)}]dx ...
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∫[(x+2)/{(x+3)(x+5)}]dx ...
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∫[1/(x2-1)]dx ...
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∫[x/(x+1)]dx ...
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∫(lnx/x)dx ...
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∫tan-1√xdx ...
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∫(x+1)lnxexdx= ...
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∫cosxexdx ...
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∫sin-1xdx ...
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∫xtan-1xdx ...
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∫xcosxdx ...
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∫xlnxdx= ...