Q) Sides AB, BC and the median AD of ∆ ABC are respectively proportional to sides PQ, QR and the median PM of another ∆ PQR. Prove that ∆ ABC ~ ∆ PQR Ans: Given that, In Δ ABC and Δ PQR, Since AD is median of BC, hence BC = 2BD Similarly, PM is median […]
Q) Find the value of ‘c’ for which the quadratic equation (c + 1) x2 – 6 (c + 1) x + 3 (c + 9) = 0; c ≠ 1 has real and equal roots. [CBSE 2024 – Series 4 – Set 1] Ans: Given quadratic equation is: (c +
Find the value of c for which the quadratic equation (c + 1) y2 – 6(c+1) y + 3(c+9)= 0 Read More »
Q) In a two-dice game, a player throws two dice simultaneously. A player scores the sum of the two dice thrown and gradually reaches a higher score as they continue to roll. Answer the following questions: i. Find the probability that the difference between the numbers on the two dice is 3. ii. Find the probability
In a two-dice game, a player throws two dice simultaneously. A player scores the sum Read More »
Q) The above circuit is a part of an electrical device. Use the information given in the question to calculate the following: (i) Potential Difference across R2. (ii) Value of the resistance R2. (iii) Value of resistance R1 (CBSE Sample Paper – 2024-25) Ans: STEP BY STEP SOLUTION (i) Potential Difference across R2 : Since
The above circuit is a part of an electrical device. Use the information given Read More »
Q) Two resistors of resistances 2 Ω and 4 Ω are connected in a) series b) parallel with a battery of given potential difference. Compute the ratio of total quantity of heat produced in the combination in the two cases if the total voltage and time are kept the same for both. (CBSE Sample Paper –
Two resistors of resistances 2 Ω and 4 Ω are connected in Read More »
Q) As shown in the figure above A and B are two lamps. Lamp A is rated at 12 V,24W. Lamp B is rated at 6.0 V. When lamp B operates at its rated voltage, the current in it is 3.0 A. The values of R1 and R2 are chosen so that both lamps operate
As shown in the figure above A and B are two lamps. Lamp A is rated at 12 V,24W. Read More »
Q) In a household five fans each of 100W are used for 4 hours and an electric press of 500W for 2 hours every day. Calculate the cost of using the fans and electric press for 60 days if the cost of 1 unit of electrical energy is Rs. 6.5. (CBSE Sample Paper
In a household five fans each of 100W are used for 4 hours and an electric press Read More »
Q) Two concentric circle are of radii 4 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle. Ans: Let’s draw a diagram with 2 concentric circles, both having O as centre. Let the radius of two circles be shown as OP = 3 cm of
Q) E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that ∆ ABE ~ ∆ CFB. Ans: Given: ABCD is a parallelogram and line AD is extended to point E. Line BE intersects CD at point F To Prove: △ ABE ~ △ CFB
E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Read More »
Q) Two pillars of equal lengths stand on either side of a road which is 100 m wide, exactly opposite to each other. At a point on the road between the pillars, the angles of elevation of the tops of the pillars are 60° and 30°. Find the length of each pillar and distance of
Two pillars of equal lengths stand on either side of a road which is 100 m wide Read More »