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Q) Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. (Q 32 B – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s plot these lines on graph: First we calculate intersection points on both axes for 1st line: x – 2 y […]
32 a. Solve the following system of equations graphically: x – 2 y = 3, 3 x – 8 y = 7. Read More »
Q) Five years ago, Adil was thrice as old as Bharat. Ten years later Adil shall be twice as old as Bharat. To know the present ages of Adil and Bharat:(i) form the linear equations representing the above information.(ii) show that the system of equations is consistent with unique solution.(iii) find the present ages of
Q) Find the mean and the mode of the following frequency distribution: (Q 33 – 30/3/3 – CBSE 2026 Question Paper) Ans: (i) Mean value: Let’s rearrange the data: Now, from this improved table, we have: ∑fx = 6240 and ∑f = 120 ∴ Mean = ∴ Mean = = 52 Therefore, the mean value of
33. Find the mean and the mode of the following frequency distribution: Read More »
Q) The angle of elevation of the top of a building from a point A, on the ground, is 30 deg On moving a distance of 24 m towards its base to the point B, the angle of elevation changes to 60 deg. Find the height of the building and distance of point A from
Q) A tower stands vertically on the ground. A man standing at the top of the tower observes his friend at an angle of depression of 30 deg who is approaching the foot of the tower with a uniform speed. 30 seconds later, the angle of depression changes to 60 deg. Find the time taken
Q) In Δ ABC, AD is a median. X is a point on AD such that AX: XD = 2:3. BX is extended so that it intersects AC at Y. Prove that BX = 4 XY (Q 35 – 30/3/3 – CBSE 2026 Question Paper) Ans: Step 1: Let’s analyse the given diagram: Here, ABC
Q) A model of Leafy Ball Fountain is made to be kept on the tabletop. Water gently cascades down the ball into a decorative cylindrical pool where it is recycled. The diameter of spherical ball is 21 cm. Cylindrical pool – Outer diameter is 50 cm and inner diameter is 40 cm. Height of solid
Q) During a theatre drama, a backdrop of building arches was used. The shape of the curve shown below can be represented by the polynomial p(x) = – x2 + 2x + 8, where x is the length (in feet) on stage level. Based on the figure given above, answer the following questions:(i) Determine the
Q)Â A group of friends wanted to play cards with two identical packs together. While shuffling the cards, three cards are dropped. Rest of the cards are shuffled and one card is drawn at random. Assuming that the dropped cards were a queen of hearts, a ten of spades and an ace of clubs, answer the
Q) Determine graphically, the coordinates of vertices of a triangle whose equations are 2x − 3y + 6 = 0; 2x + 3y − 18 = 0 and x = 0. Also, find the area of this triangle (Q32 – 30/1/1 – CBSE 2026 Question Paper) Ans: Step 1: We have following equations of the