
Sets

Relations and Functions

Trigonometry

Principle of Mathematical Induction

Complex Numbers

Quadratic Equations

Permutations and Combinations

Binomial Theorem

Sequence and Series

Straight Lines

Circles

Limits and Derivatives

Statistics

Probability

Conic Section

Introduction to ThreeDimensional Geometry

Mathematical Reasoning

Correlation Analysis

Index Numbers and Moving Averages
Intersection of Lines
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Q1Marks:2
Answer:

Q2
Find the equation of the straight line passing through the point of intersection of the lines 2x + 3 y + 1 = 0 and x – y + 15 = 0 and containing the point (3, – 4).
Marks:2Answer:

Q3
Find the equation of the straight line passing through the point of intersection of the lines x + y + 1 = 0 and 2x – y + 5 = 0 and containing the point (5, – 2).
Marks:2Answer:

Q4
Show that the straight lines
(a – b)x + (b – c)y = c – a,
(b – c)x + (c – a)y = a – b
and (c – a)x + (a – b)y = b – c are concurrent.Marks:5Answer:

Q5
Find the value of k, if the lines 3x  4y  13 = 0, 8x 11y 33 = 0 and 2x  4y + k = 0 are concurrent.
Marks:5Answer: