Distance and Sections Formula
Co-Ordinate system

88237 If algebraic sum of distances of a variable line from points \((2,0),(0,2)\) and \((-2,-2)\) is zero, then the line passes through the fixed point

1 \((-1,-1)\)
2 \((1,1)\)
3 \((2,2)\)
4 \((0,0)\)
Co-Ordinate system

88246 The equations \(y= \pm \sqrt{3} x, y=1\) are the sides of

1 An equilateral triangle
2 A right angled triangle
3 An isosceles triangle
4 An obtuse angled triangle
Co-Ordinate system

88238 The distance between the two points \(A\) and \(A^{\prime}\) which lie on \(y=2\) such that both the line segments \(A B\) and \(A^{\prime} B\) (where \(B\) is the point \((2,3))\) subtend angle \(\frac{\pi}{4}\) at the origin, is equal to :

1 10
2 \(\frac{48}{5}\)
3 \(\frac{52}{5}\)
4 3
Co-Ordinate system

88239 The distance between the parallel lines
\(9 x^{2}-6 x y+y^{2}+18 x-6 y+8=0 \text { is }\)

1 \(\frac{1}{\sqrt{10}}\)
2 \(\frac{2}{\sqrt{10}}\)
3 \(\frac{4}{\sqrt{10}}\)
4 \(\sqrt{10}\)
Co-Ordinate system

88237 If algebraic sum of distances of a variable line from points \((2,0),(0,2)\) and \((-2,-2)\) is zero, then the line passes through the fixed point

1 \((-1,-1)\)
2 \((1,1)\)
3 \((2,2)\)
4 \((0,0)\)
Co-Ordinate system

88246 The equations \(y= \pm \sqrt{3} x, y=1\) are the sides of

1 An equilateral triangle
2 A right angled triangle
3 An isosceles triangle
4 An obtuse angled triangle
Co-Ordinate system

88238 The distance between the two points \(A\) and \(A^{\prime}\) which lie on \(y=2\) such that both the line segments \(A B\) and \(A^{\prime} B\) (where \(B\) is the point \((2,3))\) subtend angle \(\frac{\pi}{4}\) at the origin, is equal to :

1 10
2 \(\frac{48}{5}\)
3 \(\frac{52}{5}\)
4 3
Co-Ordinate system

88239 The distance between the parallel lines
\(9 x^{2}-6 x y+y^{2}+18 x-6 y+8=0 \text { is }\)

1 \(\frac{1}{\sqrt{10}}\)
2 \(\frac{2}{\sqrt{10}}\)
3 \(\frac{4}{\sqrt{10}}\)
4 \(\sqrt{10}\)
Co-Ordinate system

88237 If algebraic sum of distances of a variable line from points \((2,0),(0,2)\) and \((-2,-2)\) is zero, then the line passes through the fixed point

1 \((-1,-1)\)
2 \((1,1)\)
3 \((2,2)\)
4 \((0,0)\)
Co-Ordinate system

88246 The equations \(y= \pm \sqrt{3} x, y=1\) are the sides of

1 An equilateral triangle
2 A right angled triangle
3 An isosceles triangle
4 An obtuse angled triangle
Co-Ordinate system

88238 The distance between the two points \(A\) and \(A^{\prime}\) which lie on \(y=2\) such that both the line segments \(A B\) and \(A^{\prime} B\) (where \(B\) is the point \((2,3))\) subtend angle \(\frac{\pi}{4}\) at the origin, is equal to :

1 10
2 \(\frac{48}{5}\)
3 \(\frac{52}{5}\)
4 3
Co-Ordinate system

88239 The distance between the parallel lines
\(9 x^{2}-6 x y+y^{2}+18 x-6 y+8=0 \text { is }\)

1 \(\frac{1}{\sqrt{10}}\)
2 \(\frac{2}{\sqrt{10}}\)
3 \(\frac{4}{\sqrt{10}}\)
4 \(\sqrt{10}\)
Co-Ordinate system

88237 If algebraic sum of distances of a variable line from points \((2,0),(0,2)\) and \((-2,-2)\) is zero, then the line passes through the fixed point

1 \((-1,-1)\)
2 \((1,1)\)
3 \((2,2)\)
4 \((0,0)\)
Co-Ordinate system

88246 The equations \(y= \pm \sqrt{3} x, y=1\) are the sides of

1 An equilateral triangle
2 A right angled triangle
3 An isosceles triangle
4 An obtuse angled triangle
Co-Ordinate system

88238 The distance between the two points \(A\) and \(A^{\prime}\) which lie on \(y=2\) such that both the line segments \(A B\) and \(A^{\prime} B\) (where \(B\) is the point \((2,3))\) subtend angle \(\frac{\pi}{4}\) at the origin, is equal to :

1 10
2 \(\frac{48}{5}\)
3 \(\frac{52}{5}\)
4 3
Co-Ordinate system

88239 The distance between the parallel lines
\(9 x^{2}-6 x y+y^{2}+18 x-6 y+8=0 \text { is }\)

1 \(\frac{1}{\sqrt{10}}\)
2 \(\frac{2}{\sqrt{10}}\)
3 \(\frac{4}{\sqrt{10}}\)
4 \(\sqrt{10}\)