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CBSE Class 9 Maths | Lines and Angles | ...

CBSE Class 9 Maths | Lines and Angles | Ch 6 | All Axioms And Theorems | Half Yearly Exam Special

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The direction ratios of a line are (-2, 3, 6). If the line makes an acute angle with positive direction of x-axis then the modulus of integral value of sum of all direction cosines, is _________.

Show that the equation x^(2)-6xy+5y^(2)+10x-14y+9=0 represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.

Theorem 6.5 : If a transversal intersects two lines such that a pair of interior angles on the same side of the transversal is supplementary, then the two lines are parallel.

Sometimes ago in a Cinema hall a blockbuster movie was being shown. Due to excessive demand of the show, manager of the cinema hall increased the prices of tickets in all the three categories. 25% in first class, 12.5% in special class and 40% in balcony. If the collection of one show was ₹ 218925, then find the collection from the balcony only given that the ratio of price of ticket (increased price) for first class, special class and balcony is 5: 9: 14 :