Introduction to Trigonometry Que. 1. In triangle ABC, right-angled at B, AB = 24 cm and BC = 7 cm. Find the value of the following: (i) sin A, cos A By Pythagoras theorem in triangle ABC, K2 = L2 + A2 (AC)2 = (BC)2 + (AB)2 AC2 = (7)2 + (24)2 AC2 = 49 …
Coordinate geometry Solution Section Formula – internal division – Que. 1. Find the coordinates of the point which divides the line segment joining the points (-1, 7) and (4, 3) in the ratio 2 : 3. (-1,7) (y – 3) (x1,y1) (x2,y2) m1 : m2 = 2 : 3 Que. 2. Find the coordinates of…
Coordinate geometry Que. 1. Find the distances between the following pairs of points. 1. (2,3), (4,1) A (2,3) (X1, Y1) B (4,1) (x2,y2) 2. (-5,7) , (-1,3) P (-5,7) (X1, Y1) Q (-1,3) (x2,y2) 3. (a, b) , (-a, -b) P (a, b) (X1, Y1) Q (-a, -b) (x2,y2) Que. 2. Find the distance between…
Triangle Mathematics Solutions. Que.1. State which pairs of triangles in the figure are similar. Write the similarity criterion used to answer the question and also express the similar triangles in symbolic form. 1. Que. 3. Trapezium ABCD, with AB || DC, has diagonals AC and BD intersecting at . Using the similarity criterion for two…
Triangle Solutions Que. 1. In figures (i) and (ii), DE || BC. Find EC in (i) and AD in (ii): (i) (ii) Que. 2. Points E and F lie on the sides PQ and PR, respectively, of a triangle PQR. State whether EF || QR: 1. PE = 3.9 Cm, EQ = 3 Cm, PE…
Triangle Class 10th Congruent – Polygons in which all sides or angles are equal to those of another polygon are called congruent polygons. congruent- Similar figures – Polygons that are similar in shape but differ in size. Note – All congruent polygons are similar, but not all similar polygons are congruent. All circles, equilateral triangles,…
Arithmetic Progressions Solutions Sum of the first n terms of an AP (Sn) – AP = a, a2, a3, _ _ _ _ Que. 1. Find the sum of the following arithmetic progressions: 1. 2, 7, 12, _ _ _ _ up to 10 terms a = 2 , n = 10 d = a2…
Arithmetic Progressions class 10th Que. 1. Fill in the blanks in the following table, where 'a' is the first term, 'd' is the common difference, and 'an' is the nth term of the AP: 1. a = 7 , d = 3 , n = 8 , an = ? an = a + (n…
Arithmetic Progressions Key Points – AP – 2, 4, 6, 8, 10, 12 _ _ _ _ 100 AP – a1, a2, a3, a4,_ _ _ _ _ an a1 = a = First term an = Last term n = Number of terms Common difference (d) d = a2 – a1 = a3 –…
Quadratic Equation Solutions Que. 1. Find the nature of the roots of the following quadratic equations. If roots exist then find them: 1. 2x2 – 3x + 5 = 0 ax2 + bx + c = 0 a = 2 , b = -3, c = 5 Nature of roots= b2 – 4ac = …
