Distance and Sections Formula
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Co-Ordinate system

88240 The distance between parallel lines given by the equation \(x^{2}+2 \sqrt{2} x y+2 y^{2}+4 x-8+4 \sqrt{2} y=0\), is

1 4
2 \(2 \sqrt{2}\)
3 \(4 \sqrt{2}\)
4 8
Co-Ordinate system

88241 the ratio in which the point \(P\), whose abscissa is 3 , divides the join of \(A(6,5)\) and \(B(-1,4)\) is equal to .....

1 \(3: 4\)
2 \(4: 3\)
3 \(3: 2\)
4 \(2: 3\)
Co-Ordinate system

88242 If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, is

1 \(8: 15\)
2 \(5: 8\)
3 \(-5:\)
4 \(-8: 5\)
Co-Ordinate system

88243 The perpendicular distance from the point
\((1, \pi)\) to the line joining \((1,0)\) and \(\left(1, \frac{\pi}{2}\right)\), (in polar coordinates) is

1 2
2 \(\sqrt{3}\)
3 1
4 \(\sqrt{2}\)
Co-Ordinate system

88240 The distance between parallel lines given by the equation \(x^{2}+2 \sqrt{2} x y+2 y^{2}+4 x-8+4 \sqrt{2} y=0\), is

1 4
2 \(2 \sqrt{2}\)
3 \(4 \sqrt{2}\)
4 8
Co-Ordinate system

88241 the ratio in which the point \(P\), whose abscissa is 3 , divides the join of \(A(6,5)\) and \(B(-1,4)\) is equal to .....

1 \(3: 4\)
2 \(4: 3\)
3 \(3: 2\)
4 \(2: 3\)
Co-Ordinate system

88242 If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, is

1 \(8: 15\)
2 \(5: 8\)
3 \(-5:\)
4 \(-8: 5\)
Co-Ordinate system

88243 The perpendicular distance from the point
\((1, \pi)\) to the line joining \((1,0)\) and \(\left(1, \frac{\pi}{2}\right)\), (in polar coordinates) is

1 2
2 \(\sqrt{3}\)
3 1
4 \(\sqrt{2}\)
Co-Ordinate system

88240 The distance between parallel lines given by the equation \(x^{2}+2 \sqrt{2} x y+2 y^{2}+4 x-8+4 \sqrt{2} y=0\), is

1 4
2 \(2 \sqrt{2}\)
3 \(4 \sqrt{2}\)
4 8
Co-Ordinate system

88241 the ratio in which the point \(P\), whose abscissa is 3 , divides the join of \(A(6,5)\) and \(B(-1,4)\) is equal to .....

1 \(3: 4\)
2 \(4: 3\)
3 \(3: 2\)
4 \(2: 3\)
Co-Ordinate system

88242 If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, is

1 \(8: 15\)
2 \(5: 8\)
3 \(-5:\)
4 \(-8: 5\)
Co-Ordinate system

88243 The perpendicular distance from the point
\((1, \pi)\) to the line joining \((1,0)\) and \(\left(1, \frac{\pi}{2}\right)\), (in polar coordinates) is

1 2
2 \(\sqrt{3}\)
3 1
4 \(\sqrt{2}\)
Co-Ordinate system

88240 The distance between parallel lines given by the equation \(x^{2}+2 \sqrt{2} x y+2 y^{2}+4 x-8+4 \sqrt{2} y=0\), is

1 4
2 \(2 \sqrt{2}\)
3 \(4 \sqrt{2}\)
4 8
Co-Ordinate system

88241 the ratio in which the point \(P\), whose abscissa is 3 , divides the join of \(A(6,5)\) and \(B(-1,4)\) is equal to .....

1 \(3: 4\)
2 \(4: 3\)
3 \(3: 2\)
4 \(2: 3\)
Co-Ordinate system

88242 If \(A(2,-1)\) and \(B(6,5)\) are two points the ratio in which the foot of the perpendicular from \((4,1)\) to \(A B\) divides it, is

1 \(8: 15\)
2 \(5: 8\)
3 \(-5:\)
4 \(-8: 5\)
Co-Ordinate system

88243 The perpendicular distance from the point
\((1, \pi)\) to the line joining \((1,0)\) and \(\left(1, \frac{\pi}{2}\right)\), (in polar coordinates) is

1 2
2 \(\sqrt{3}\)
3 1
4 \(\sqrt{2}\)