Question
To insert a new node at the beginning of a singly linked
list, which of the following operations is typically performed?Solution
Update the `next` pointer of the new node to point to the current head, then make the new node the head.
The area of an equilateral triangle increases by 16√3 square units when the length of each side is increased by 4 units. What is the original perimete...
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?
- A triangle has a base of 27.3 cm and the height is 11.4 cm. Find its area.
In ΔPQR, PQ = 4 cm, QR = 3 cm, and RP = 3.5 cm. ΔDEF is similar to ΔPQR. If EF = 9 cm, what is the perimeter of ΔDEF?
- In triangle XYZ, lines XP and PF are medians of triangle XYZ and triangle XZF respectively. If the area of triangle XPF is 15 cm², calculate the area of t...
- In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.
In a right-angled triangle, the length of the hypotenuse is 25 cm, and the perimeter is 60 cm. Find the area of the triangle.
- In triangle GHI, JK is drawn parallel to side HI. If GJ = 7 cm, JH = 2 cm, and GK = 14 cm, find GI.
In a ∆ABC, points P, Q and R are taken on AB, BC and CA, respectively, such that BQ = PQ and QC = QR. If ∠ BAC = 75°, what is the measure of &...
In ∆ PQR, S is the midpoint of QR. T is the midpoint of line PS. Then, Area of ∆PTQ : Area of ∆ PQR is