Distance and Sections Formula
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Co-Ordinate system

88245 The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratio

1 3:4 externally
2 \(3: 4\) internally
3 \(4: 5\) internally
4 \(5: 6\) externally
WB JEE-2010
Co-Ordinate system

88233 The lines cut \(X\) and \(Y\) axis at the points \(A\) and \(B\) respectively. The point \((5,6)\) divides the line segment \(A B\) internally in the ratio \(3: 1\), then equation of line is

1 \(2 x-5 y=-20\)
2 \(2 x+y=16\)
3 \(2 x-y=4\)
4 \(2 x+5 y=40\)
MHT CET-2020
Co-Ordinate system

88234 The line joining \(A(2,-7)\) and \(B(6,5)\) is divided into 4 equal parts by the points \(P, Q\) and \(R\) such that \(A Q=R P=Q B\). The midpoint of \(P R\) is

1 \((-8,1)\)
2 \((4,12)\)
3 \((8,-2)\)
4 \((4,-1)\)
Karnataka CET-2010
Co-Ordinate system

88235 Point \(R(h, k)\) divides a line segment between the axis in the ratio \(1: 2\). Find equation of the line.

1 \(2 \mathrm{kx}+\mathrm{hy}=3 \mathrm{hk}\)
2 \(2 \mathrm{kx}+\mathrm{hy}=2 \mathrm{hk}\)
3 \(2 \mathrm{kx}-\mathrm{hy}=3 \mathrm{hk}\)
4 None of the above
BCECE-2013
Co-Ordinate system

88236 The ratio in which yz-plane divide it he line joining the points \(A(3,1,-5)\) and \(B(1,4,-6)\) is

1 \(-3: 1\)
2 \(3: 1\)
3 \(-1: 3\)
4 \(1: 3\)
CG PET-2013
NEET DIGITAL LIBRARY
Co-Ordinate system

88245 The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratio

1 3:4 externally
2 \(3: 4\) internally
3 \(4: 5\) internally
4 \(5: 6\) externally
WB JEE-2010
Co-Ordinate system

88233 The lines cut \(X\) and \(Y\) axis at the points \(A\) and \(B\) respectively. The point \((5,6)\) divides the line segment \(A B\) internally in the ratio \(3: 1\), then equation of line is

1 \(2 x-5 y=-20\)
2 \(2 x+y=16\)
3 \(2 x-y=4\)
4 \(2 x+5 y=40\)
MHT CET-2020
Co-Ordinate system

88234 The line joining \(A(2,-7)\) and \(B(6,5)\) is divided into 4 equal parts by the points \(P, Q\) and \(R\) such that \(A Q=R P=Q B\). The midpoint of \(P R\) is

1 \((-8,1)\)
2 \((4,12)\)
3 \((8,-2)\)
4 \((4,-1)\)
Karnataka CET-2010
Co-Ordinate system

88235 Point \(R(h, k)\) divides a line segment between the axis in the ratio \(1: 2\). Find equation of the line.

1 \(2 \mathrm{kx}+\mathrm{hy}=3 \mathrm{hk}\)
2 \(2 \mathrm{kx}+\mathrm{hy}=2 \mathrm{hk}\)
3 \(2 \mathrm{kx}-\mathrm{hy}=3 \mathrm{hk}\)
4 None of the above
BCECE-2013
Co-Ordinate system

88236 The ratio in which yz-plane divide it he line joining the points \(A(3,1,-5)\) and \(B(1,4,-6)\) is

1 \(-3: 1\)
2 \(3: 1\)
3 \(-1: 3\)
4 \(1: 3\)
CG PET-2013
Join With Us for More Updates
Co-Ordinate system

88245 The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratio

1 3:4 externally
2 \(3: 4\) internally
3 \(4: 5\) internally
4 \(5: 6\) externally
WB JEE-2010
Co-Ordinate system

88233 The lines cut \(X\) and \(Y\) axis at the points \(A\) and \(B\) respectively. The point \((5,6)\) divides the line segment \(A B\) internally in the ratio \(3: 1\), then equation of line is

1 \(2 x-5 y=-20\)
2 \(2 x+y=16\)
3 \(2 x-y=4\)
4 \(2 x+5 y=40\)
MHT CET-2020
Co-Ordinate system

88234 The line joining \(A(2,-7)\) and \(B(6,5)\) is divided into 4 equal parts by the points \(P, Q\) and \(R\) such that \(A Q=R P=Q B\). The midpoint of \(P R\) is

1 \((-8,1)\)
2 \((4,12)\)
3 \((8,-2)\)
4 \((4,-1)\)
Karnataka CET-2010
Co-Ordinate system

88235 Point \(R(h, k)\) divides a line segment between the axis in the ratio \(1: 2\). Find equation of the line.

1 \(2 \mathrm{kx}+\mathrm{hy}=3 \mathrm{hk}\)
2 \(2 \mathrm{kx}+\mathrm{hy}=2 \mathrm{hk}\)
3 \(2 \mathrm{kx}-\mathrm{hy}=3 \mathrm{hk}\)
4 None of the above
BCECE-2013
Co-Ordinate system

88236 The ratio in which yz-plane divide it he line joining the points \(A(3,1,-5)\) and \(B(1,4,-6)\) is

1 \(-3: 1\)
2 \(3: 1\)
3 \(-1: 3\)
4 \(1: 3\)
CG PET-2013
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Co-Ordinate system

88245 The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratio

1 3:4 externally
2 \(3: 4\) internally
3 \(4: 5\) internally
4 \(5: 6\) externally
WB JEE-2010
Co-Ordinate system

88233 The lines cut \(X\) and \(Y\) axis at the points \(A\) and \(B\) respectively. The point \((5,6)\) divides the line segment \(A B\) internally in the ratio \(3: 1\), then equation of line is

1 \(2 x-5 y=-20\)
2 \(2 x+y=16\)
3 \(2 x-y=4\)
4 \(2 x+5 y=40\)
MHT CET-2020
Co-Ordinate system

88234 The line joining \(A(2,-7)\) and \(B(6,5)\) is divided into 4 equal parts by the points \(P, Q\) and \(R\) such that \(A Q=R P=Q B\). The midpoint of \(P R\) is

1 \((-8,1)\)
2 \((4,12)\)
3 \((8,-2)\)
4 \((4,-1)\)
Karnataka CET-2010
Co-Ordinate system

88235 Point \(R(h, k)\) divides a line segment between the axis in the ratio \(1: 2\). Find equation of the line.

1 \(2 \mathrm{kx}+\mathrm{hy}=3 \mathrm{hk}\)
2 \(2 \mathrm{kx}+\mathrm{hy}=2 \mathrm{hk}\)
3 \(2 \mathrm{kx}-\mathrm{hy}=3 \mathrm{hk}\)
4 None of the above
BCECE-2013
Co-Ordinate system

88236 The ratio in which yz-plane divide it he line joining the points \(A(3,1,-5)\) and \(B(1,4,-6)\) is

1 \(-3: 1\)
2 \(3: 1\)
3 \(-1: 3\)
4 \(1: 3\)
CG PET-2013
NEET DIGITAL LIBRARY
Co-Ordinate system

88245 The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratio

1 3:4 externally
2 \(3: 4\) internally
3 \(4: 5\) internally
4 \(5: 6\) externally
WB JEE-2010
Co-Ordinate system

88233 The lines cut \(X\) and \(Y\) axis at the points \(A\) and \(B\) respectively. The point \((5,6)\) divides the line segment \(A B\) internally in the ratio \(3: 1\), then equation of line is

1 \(2 x-5 y=-20\)
2 \(2 x+y=16\)
3 \(2 x-y=4\)
4 \(2 x+5 y=40\)
MHT CET-2020
Co-Ordinate system

88234 The line joining \(A(2,-7)\) and \(B(6,5)\) is divided into 4 equal parts by the points \(P, Q\) and \(R\) such that \(A Q=R P=Q B\). The midpoint of \(P R\) is

1 \((-8,1)\)
2 \((4,12)\)
3 \((8,-2)\)
4 \((4,-1)\)
Karnataka CET-2010
Co-Ordinate system

88235 Point \(R(h, k)\) divides a line segment between the axis in the ratio \(1: 2\). Find equation of the line.

1 \(2 \mathrm{kx}+\mathrm{hy}=3 \mathrm{hk}\)
2 \(2 \mathrm{kx}+\mathrm{hy}=2 \mathrm{hk}\)
3 \(2 \mathrm{kx}-\mathrm{hy}=3 \mathrm{hk}\)
4 None of the above
BCECE-2013
Co-Ordinate system

88236 The ratio in which yz-plane divide it he line joining the points \(A(3,1,-5)\) and \(B(1,4,-6)\) is

1 \(-3: 1\)
2 \(3: 1\)
3 \(-1: 3\)
4 \(1: 3\)
CG PET-2013