Subject

Mathematics

Class

JEE Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement

11.

Let a1, a2, a3, … be terms of an A.P. If fraction numerator straight a subscript 1 space plus straight a subscript 2 space plus......... straight a subscript straight p over denominator straight a subscript 1 space plus straight a subscript 2 space plus.......... straight a subscript straight q end fraction space equals space straight p squared over straight q squared comma space straight p not equal to straight q comma space then space straight a subscript 6 over straight a subscript 21 equals

  • 41/11

  • 7/2

  • 2/7

  • 2/7


D.

2/7

fraction numerator begin display style straight p over 2 open square brackets 2 straight a subscript 1 space plus left parenthesis straight p minus 1 right parenthesis straight d close square brackets end style over denominator begin display style straight q over 2 open square brackets 2 straight a subscript 1 space plus left parenthesis straight q minus 1 right parenthesis straight d close square brackets end style end fraction space equals space straight p squared over straight q squared
rightwards double arrow space fraction numerator 2 straight a subscript 1 space plus left parenthesis straight p minus 1 right parenthesis straight d over denominator 2 straight a subscript 1 space plus left parenthesis straight q minus 1 right parenthesis straight d end fraction space equals straight p over straight q
fraction numerator straight a subscript 1 space plus space open parentheses begin display style fraction numerator straight p minus 1 over denominator 2 end fraction end style close parentheses over denominator straight a subscript 1 space plus open parentheses begin display style fraction numerator straight q minus 1 over denominator 2 end fraction end style close parentheses straight d end fraction space equals straight p over straight q
For space straight a subscript 6 over straight a subscript 21 comma space straight p equals 11 comma space 1 space equals space 41
rightwards arrow space straight a subscript 6 over straight a subscript 21 space equals 11 over 41
174 Views

Advertisement
12.

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

137 Views

13.

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

124 Views

14.

If the expansion in powers of x of the function fraction numerator 1 over denominator left parenthesis 1 minus ax right parenthesis left parenthesis 1 minus bx right parenthesis end fraction is a0 + a1x + a2x2 + a3x3 + … , then an is

  • fraction numerator straight b to the power of straight n minus straight a to the power of straight n over denominator straight b minus straight a end fraction
  • fraction numerator straight a to the power of straight n minus straight b to the power of straight n over denominator straight b minus straight a end fraction
  • fraction numerator straight a to the power of straight n plus 1 end exponent minus straight b to the power of straight n plus 1 end exponent over denominator straight b minus straight a end fraction
  • fraction numerator straight a to the power of straight n plus 1 end exponent minus straight b to the power of straight n plus 1 end exponent over denominator straight b minus straight a end fraction
182 Views

Advertisement
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)

180 Views

16.

The value of integral subscript 1 superscript straight a left square bracket straight x right square bracket straight f apostrophe left parenthesis straight x right parenthesis space dx comma space straight a space greater than 1,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)}

117 Views

17.

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

184 Views

18.

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

458 Views

Advertisement
19.

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)

411 Views

20.

If z2 + z + 1 = 0, where z is a complex number, then the value ofopen parentheses straight z plus 1 over straight z close parentheses squared space plus open parentheses straight z squared space plus 1 over straight z squared close parentheses squared space plus open parentheses straight z cubed space plus 1 over straight z cubed close parentheses squared space plus..... open parentheses straight z to the power of 6 plus 1 over straight z to the power of 6 close parentheses squared space is

  • 18

  • 54

  • 6

109 Views

Advertisement