RULEMATH | MATH ONLINE/DIRECT CLASS | MATH WEBSITE | SCIENCE CLASS 10, PHYSICS CLASS 11 AND 12

  SAMACHEER KALVI CLASS 10 TRIGONOMETRY IMPORTANT CONCEPT BASED QUESTIONS TOTAL NUMBER OF QUESTIONS: 18 1.  Prove the following identities. (i) cot θ + tan θ = sec θ cosec θ (ii) tan 4  θ + tan 2  θ = sec 4  θ – sec 2  θ 2. Prove the following identities. (i) sec 4  θ (1 – sin 4  θ) – 2 tan 2  θ = 1 3.   If sin θ + cos θ = p and sec θ + cosec θ = q, then prove that q (p 2  – 1) = 2 p 4. Prove the following identities. 5.   If sin θ + cos θ =  3 – √ , then prove that tan θ + cot θ = 1. 6.  Find the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of a tower of height 10  3 – √  m. 7.  To a man standing outside his house, the angles of elevation of the top and bottom of a window are 60° and 45° respectively. If the height of the man is 180 cm and if he is 5 m away from the wall, what is the height of the window? ( 3 – √  = 1.732) 8. ...

 SAMACHEER KALVI CLASS 10 COORDINATE GEOMETRY IMPORTANT CONCEPT BASED  QUESTIONS TOTAL NUMBER OF QUESTIONS: 28 1.  Find the area of the triangle formed by the points (i) (1,-1), (-4, 6) and (-3, -5) 2.  Determine whether the sets of points are collinear?   1 (i) (a ,b + c), (b, c + a) and (c, a + b) 3. F ind the value of ‘a’ for which the given points are collinear. (i) (2,3), (4, a) and (6, -3) 4.  Find the area of the quadrilateral whose vertices are at (i) (-9, -2), (-8, -4), (2, 2) and (1, -3) 5.  If the points A(-3, 9), B(a, b) and C(4, -5) are collinear and if a + b = 1, then find a and b.   6.  A triangular shaped glass with vertices at A(-5, -4), B(l, 6) and C(7, -4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied.   7.  What is the inclination of a line whose slope is (i) 0 (ii) 1 8.  Find the slop...