Let a₁, a₂, a₃, … be terms of an A.P. If  equals

• 41/11

• 7/2

• 2/7

• 2/7

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is

• 3x²/2

• x³/8

• x²/2

• x²/2

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

• 5040

• 6210

• 385

• 385

If the expansion in powers of x of the function  is a₀ + a₁x + a₂x² + a₃x³ + … , then an is

15.

For natural numbers m, n if (1 − y)m (1 + y)n = 1 + a1y + a²y² + … , and a₁ = a₂ = 10, then (m, n) is

• (20, 45)

• (35, 20)

• (45, 35)

• (45, 35)

The value of ,where [x] denotes the greatest integer not exceeding x is

• af(a) − {f(1) + f(2) + … + f([a])}

• [a] f(a) − {f(1) + f(2) + … + f([a])}

• [a] f([a]) − {f(1) + f(2) + … + f(a)}

• [a] f([a]) − {f(1) + f(2) + … + f(a)}

If the lines 3x − 4y − 7 = 0 and 2x − 3y − 5 = 0 are two diameters of a circle of area 49π square units, the equation of the circle is

• x² + y² + 2x − 2y − 47 = 0

• x² + y² + 2x − 2y − 62 = 0

• x² + y² − 2x + 2y − 62 = 0

• x² + y² − 2x + 2y − 62 = 0

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of 2π/3  at its centre is

• x²+y² = 3/2

• x² + y² = 1

• x²+y² = 27/4

• x²+y² = 27/4

If (a, a2 ) falls inside the angle made by the lines y =x/2, x >0 and y = 3x, x > 0, then a belongs to

• (0,1/2)

• (3, ∞)

• (1/2, 3)

• (1/2, 3)

If z² + z + 1 = 0, where z is a complex number, then the value of

• 18

• 54

• 6