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, […]
Triangles – Previous Years Questions Let △ABC ~ △DEF and their areas be respectively 81 cm2 and 144 cm2 . If EF = 24 cm, then length of side BC is _________ cm. [CBSE 2020] [1 Mark] Given △ABC ~ △PQR, if AB/PQ = ⅓, then find the (ar △ABC)/(ar △PQR). [CBSE 2018] [1 Mark] […]
Arithmetic Progressions Previous Years Questions For what value of k will k + 9, 2k – 1 and 2k + 7 are the consecutive terms of an A.P. ? [CBSE 2016] [1 Mark] In an AP, if the common difference is -4 and the seventh term is 4, then find the first term. [CBSE 2018] […]
Real Numbers – Previous Years Questions What is the HCF of smallest prime number and the smallest composite number ? [CBSE 2018] [1 Mark] Find after how many places of decimal the decimal form of the number will terminate. [CBSE 2019] [1 Mark] Express 429 as a product of its prime factors. [CBSE 2019] [1 […]
Control and Coordination – Important Questions Name one gustatory receptor and one olfactory receptor. How do auxins promote the growth of a tendril around a support? What is a nerve impulse? State the direction followed by a nerve impulse while travelling in the body of an organism.
Heredity and Evolution – Previous Years Questions In an experiment with pea plants, a sure tall plant (TT) is crossed with a pure short plant (tt). The ratio of pure tall plant to pure tall plant to pure short palnt in F2 generation will be a. 1 : 3b. 3 : 1c. 1 : 1d. […]
Heredity and Evolution – Notes Heredity:- The transmission of traits/characters from one generation to next generation is called heredity. Genetics:- The study of heredity and variation is called genetics. Dominant:- The characteristics which is expressed in an organism is called dominant. Recessive:- The trait which is not expressed in an organism is called recessive. Homozygous:- […]
Control and Coordination – Previous Years Questions Walking in a straight line and riding a bicycle are the activities which are possible due to a part of the brain. Choose the correct location and name of this part from the given table : [1 mark] [ CBSE 2023] How is an electric impulse created in […]