Question
Which of the following is correct about the power to
alter boundaries between states (relevant to First Schedule and Part I)?Solution
Article 3 empowers Parliament to form new States, alter boundaries, or change names of existing States. The only procedural safeguard is that the Bill must be referred to the concerned State Legislature for its views, though State consent is not mandatory. This reflects India’s strong Centre-oriented federalism. In Babulal Parate v. State of Bombay and later in Pradeep Chaudhary v. Union of India, the Supreme Court upheld Parliament’s wide discretion under Article 3, subject only to limited judicial review. The provision ensures flexibility in territorial reorganization while preserving constitutional procedure.
The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and t...
Two similar triangles have areas 50 cm² and 98 cm². If a side of the smaller triangle is 5 cm, find the corresponding side of the larger triangle.
Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
What is the area of triangle ABC with vertices A(1, 2), B(5, 6), and C(7, 2)?
Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5 cm, RP = 9 cm and RQ = 6 cm.
Determine the inradius of an equilateral triangle whose altitude measures 9√3 cm.
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
If perpendicular and base of a right-angle triangle is, 6 cm and 8 cm, respectively, then find the length of the shortest median of triangle.
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?
- What is the average of the first eight triangular numbers?