The plane 6x + ky + 3z − 12 = 0 (where k ≠ 0) meets the coordinate axes at A, B and C respectively. The equation of the sphere passing through the origin and A, B, C is: x² + y² + z² + 2x − 3y − 4z = 0 If p is the perpendicular distance from the centre of the sphere to the plane, then which one of the following is correct?

For election to the Lok Sabha, a nomination paper can be filed by

Miscellaneous · Easy

In a month if the seventh day is three days earlier than Saturday,then the nineteenth day of the month will be a

Miscellaneous · Easy

Which among the following events happened earliest ?

Miscellaneous · Easy

An 80-litre solution of alcohol and water has 75% alcohol. How much water (in litres) must be added to bring down the concentration of alcohol to 60%?

Miscellaneous · Easy