1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements
1. The distance between the lines $$y = mx + {c_1}$$ and $$y = mx + {c_2}$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {1 + {m^2}} }}$$.
2. The distance between the lines $$ax + by + {c_1} = 0$$ and $$ax + by + {c_2} = 0$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {{a^2} + {b^2}} }}$$.
3.The distance between the lines $$x = {c_1}$$ and $$x = {c_2}$$ is $$\left| {{c_1} - {c_2}} \right|$$.
Which of the above statements are correct?
1. The distance between the lines $$y = mx + {c_1}$$ and $$y = mx + {c_2}$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {1 + {m^2}} }}$$.
2. The distance between the lines $$ax + by + {c_1} = 0$$ and $$ax + by + {c_2} = 0$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {{a^2} + {b^2}} }}$$.
3.The distance between the lines $$x = {c_1}$$ and $$x = {c_2}$$ is $$\left| {{c_1} - {c_2}} \right|$$.
Which of the above statements are correct?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of straight line passing through the point of intersection of the lines $${x \over 2} + {y \over 3} = 1$$ and $${x \over 3} + {y \over 2} = 1$$ and parallel to the line $$4x + 5y - 6 = 0$$ ?
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in the ratio 2 : 3 ?
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the angle between the straight lines $$({m^2} - mn)y = (mn + {n^2})x + {n^3}$$ and $$(mn + {m^2})y = (mn - {n^2})x + {m^3}$$, where m > n?
Questions Asked from Coordinate System and Straight Line (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies