Some Applications of Trigonometry – Important Questions A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60°. When he retreated 20 m from the bank, he finds the angle to be 30°. Find the height of the tree and the breadth of […]
Some Applications of Trigonometry – Previous Years Questions A ladder, leaning against a wall, makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder. [CBSE 2016] [1 Mark] If the shadow of a vertical pole at a particular […]
Triangles – Important Questions If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. A girl of height 90 cm is walking away from the base of a lamp-post at a speed of 1.2 […]
Quadratic Equations – Important Questions Find the roots of the equation 2×2– 5x + 3 = 0, by factorisation. Write the discriminant of the quadratic equation (x + 5)2 = 2(5x – 3). Using completing the square method, show that the equation x2 – 8x + 18 = 0 has no solution. Find the roots […]
Pair of Linear Equations in Two Variables – Important Questions Solve the following pair of equations:3x + 4y = 102x – 2y = 2 Draw the graph of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0, using this graph, find the values of x and y […]
Real Numbers – Important Questions HCF of 65 and 117 is expressible in the form 65n – 117, then find the value of n. On a morning walk, three persons step out together and their steps measure 30 cm, 36 cm and 40 cm respectively. What is the minimum distance each should walk so that […]
Arithmetic Progressions – Important Questions Show that the sequence defined by tn = 4n + 7 is an A.P. Find the number of terms for given AP: 7, 13, 19, 25, ……, 205. The 7th term of an AP is 32 and its 13th term is 62. Find AP. Find the sum of all two […]
Introduction to Trigonometry – Important Questions If tan (A + B) = 1 and tan (A – B) = 1/√3 , 0° < A + B < 90° , A > B, then find the values of A and B. A, B and C are interior angles of a △ABC. Show that :- sin = […]
Introduction to Trigonometry – Previous years Questions The value of θ for which cos(10° + θ) = sin 30° , is 50° 40° 80° 20° [CBSE 2020] [1 Mark] The value of θ for which sin (44° + θ) = cos 30° , is 46° 60° 16° 90° [CBSE 2020] [1 Mark] If tan A […]
Coordinate Geometry – Previous Years Questions It is being given that the points A(1, 2), B(0, 0) and C(a, b) are collinear. Which of the following relations between a and b is true? a = 2b 2a = b a + b = 0 a – b = 0 [CBSE 2020] 1 Mark] Point P(a/8, […]