Question
Which dynasty saw Kanchipuram emerge as a hub of temples
and Vedic learning, and whose ruler Vishnugopa was vanquished by Gupta emperor Samudragupta?Solution
The Pallava dynasty greatly influenced the cultural landscape of South India, particularly at Kanchipuram, which they made a prominent center for temples and Vedic education. Vishnugopa, a ruler from this dynasty, is notably mentioned in the Allahabad Pillar Inscription of Samudragupta as one of the kings defeated, illustrating the military might of the Gupta dynasty.
I. 8a2 – 22a+ 15 = 0
II. 12b2 - 47b + 40=0
I. 2x2 – 5x – 12 = 0
II. 2y2 + 13y + 20 = 0
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
I. x2Â - 9x - 52 = 0
II. y2Â - 16y + 63 = 0
I. 10x2 + 33x + 9 = 0
II. 2y2 + 13y + 21 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
I. 2y² - 11 y + 15 = 0
II. 2x² + 3x – 14 = 0
I). 5p2 Â - p - 4 = 0
II). q2 - 12q + 27 = 0
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...I. y/16 = 4/yÂ
II. x3 = (2 ÷ 50) × (2500 ÷ 50) × 42 × (192 ÷ 12)