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History Class 9 Chapter 11 [Renaissance] inside questions and answer

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SELINA Solutions for Class 9 Maths Chapter 28 - Distance Formula

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  Chapter 28 - Distance Formula Exercise Ex. 28 Question 1 Find the distance between the following pairs of points: (i) (-3, 6) and (2, -6) (ii) (-a, -b) and (a, b) (iii)   and  (iv)   and  Solution 1 (i) (-3, 6) and (2, -6) Distance between the given points   (ii) (-a, -b) and (a, b) Distance between the given points   (iii)   and  Distance between the given points   (iv)   and  Distance between the given points Question 2 Find the distance between the origin and the point: (i) (-8, 6) (ii) (-5, -12) (iii) (8, -15) Solution 2 Coordinates of origin are O (0, 0). (i) A (-8, 6) AO =    (ii) B (-5, -12) BO =    (iii) C (8, -15) CO =  Question 3 The distance between the points (3, 1) and (0, x) is 5. Find x. Solution 3 It is given that the distance between the points A (3, 1) and B (0, x) is 5. Question 4 Find the co-ordinates of points on the x-axis which are at a distance of 17 units f...
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SELINA Solutions for Class 9 Maths Chapter 23 - Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]

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  Chapter 23 - Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] Exercise Ex. 23(A) Question 1 find the value of: ( i ) sin 30 o   cos  30 o (ii) tan 30 o  tan 60 o (iii) cos 2  60 o  + sin 2  30 o (iv) cosec 2  60 o  - tan 2  30 o (v) sin 2  30 o  + cos 2  30 o  + cot 2  45 o (vi)  cos 2  60 o  + sec 2  30 o  + tan 2  45 o . Solution 1 (i) (ii) (iii) (iv) (v) (vi) Question 2 find the value of : ( i ) tan 2  30 o  + tan 2  45 o  + tan 2  60 o (ii)  (iii) 3 sin 2  30 o  + 2 tan 2  60 o  - 5 cos 2  45 o . Solution 2 ( i )  (ii)  (iii) 3 sin 2  30 o  + 2 tan 2  60 o  - 5 cos 2  45 o   Question 3 Prove that: ( i ) sin 60 o   cos  30 o  +  cos  60 o . sin 30 o  = 1 (ii)  cos  30 o .  cos ...
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