14949 + Interview Questions in Maths in Class 11 Page 289 InterviewSolution

14401.	(sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@)+3sin 210^(@))
Answer» ANSWER :`-2`

Discussion

14402.	Express each of the following in the form b or bi, where b is a real number 5i(-8i).
Answer» ANSWER :40

Discussion

14403.	If ((1+i)/(1-i))^(m)=1, then find the least positive integral value of m.
Answer» ANSWER :4

Discussion

14404.	The minimum value of sqrt((e^x"^2)-1)is
Answer» 0 E `(1)/(e)` `e^(e^(X))` ANSWER :A

Discussion

14405.	For an geometric seq. (5)/2,(5)/(4),(5)/8.......a_(n) = ............. .
Answer» ANSWER :`5/(2^n)`

Discussion

14406.	If P (A) is the probability for any event A. then P (A) lt P (barA).
Answer» ANSWER :(i) 0.25(II) 0.40(III) 0.40(IV) 0.68

Discussion

14407.	If tan theta = 3 andtheta is in third quadrant then sin theta = 3/sqrt10.
Answer» ANSWER :FALSE STATEMENT

Discussion

14408.	Write Negation of the following statements: Mathematics is the queen of sciences.
Answer» ANSWER :Mathemactic is not a QUEEN of SCIENCES.

Discussion

14409.	Find the multiplicative inverse of the following complex number. (4+3i)/(5-3i)
Answer» ANSWER :`(11)/(13)+(27)/(25)i`

Discussion

14410.	Find the point of intersection of the lines 5x-3y-3=0,4x+y-1=0
Answer» ANSWER :`(6/17,(-7)/17)`

Discussion

14411.	Three vertices of a parallelogram ABCD are A(3, -1, 2), B(1, 2, -4) and C(-1, 1, 2). Find the coordinates of the fourth vertex.
Answer» ANSWER :(1,-2,8)

Discussion

14412.	Find the roots of the equations. Q. 2x^(2)+x-3=0
Answer» ANSWER :`1,(-3)/(2)`

Discussion

14413.	3y^(2)-x^(2)=108
Answer» ANSWER :(i)12 units,`6sqrt(3)` units (ii)`A(0,-3) ,B(0,3)` (iii) `F_(1)(0,-12),F_(2)(0,12)` (IV) `e=2` (v) 36 units

Discussion

14414.	The solution of the equation sec theta - cosec theta =4/3 is
Answer» `(1)/(2) [ n PI + (-1)^(n) SIN ^(-1)"" (3)/(4)]` `(n pi)/( 2) + (-1)^(n) sin ^(-1) ""(3)/(4) , n in Z` `n pi + (-1)^(n) sin^(-1) ""(3)/(4), n in Z` `(n pi)/( 3) + (-1)^(n) sin ^(-1)"" (3)/(4), n in Z` ANSWER :A

Discussion

14415.	For the given statements identify the necessary and sufficient conditions t: If you drive over 80 km per hour, then you will get a fine.
Answer» ANSWER :necessary CONDITION: For punishment of FINE DRIVE over 80 km/hour

Discussion

14416.	Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N whose elements are even numbers.
Answer» Answer :`= {2, 4, 6, 8,"…………",100}`

Discussion

14417.	An equilateral triangle ABC has its centroid at the origin and one side 'AC' isx+y=1A point P is taken on the minor are AC of the circumeircle of triangle ABC. The maximum value of (PA+PB+PC) is equal to
Answer» `4sqrt2` `SQRT2` `3sqrt2` `9//sqrt2` ANSWER :A

Discussion

14418.	9^(th) term of arithmetic sequence is 30 then sum of its 17 terms ............ .
Answer» ANSWER :510

Discussion

14419.	There is an error of +-0.04 cm in the measurement of the diameter ofa sphere. When the radius is 10 cm, the percentage error in the volume of the sphere is :
Answer» `+-1.2` `+-1.0` `+-0.8` `+-0.6` ANSWER :A

Discussion

14420.	If Lt_(xtooo)2^(x-1)tan(a/2^(x))=2011 then find a.
Answer» ANSWER :4022

Discussion

14421.	Find the approximate value of sin60^(@)1', given that (pi)/(180)=0.0175 radians
Answer» ANSWER :0.86615

Discussion

14422.	Find the orthocentre of the triangle with vertices (2,(sqrt3-1)/(2)),(1/2,-1/2),(2,1/2)
Answer» ANSWER :`(2,(-1)/(2))`

Discussion

14423.	If angles A, B and C are in AP, then (a + c)/bis equal to
Answer» `2"SIN"(A-C)/(2)` `2"COS"(A-C)/(2)` `"cos"(A-C)/(2)` `"sin"(A-C)/(2)` ANSWER :B

Discussion

14424.	Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40.
Answer» Answer :(11, 13), (13, 15), (15, 17), (17, 19)

Discussion

14425.	Eccentricity of ellipse is ..........if length of latus rectum is half then minor axis.
Answer» ANSWER :`sqrt3/2`

Discussion

14426.	The value of sin((pi)/(18))+sin((pi)/(9))+sin((2pi)/(9))+sin((5pi)/(18)) is
Answer» `SIN((7pi)/(18))+sin((4pi)/(9))` 1 `COS((pi)/(6))+cos((3PI)/(7))` `cos((pi)/(9))+sin((pi)/(9))` ANSWER :A

Discussion

14427.	Draw a quadrilateral in the Cartesian plane, whose vertices are(-4, 5) , (0, 7) , (5, -5) " and " (-4, -2) . Also , find its area.
Answer» ANSWER :`(121)/2` SQUARE UNIT.

Discussion

14428.	Three vertics of a parallelogram ABCDare A(3,-1,2) ,B (1,2,-4) and C(-1,1,2) find the coordinate of the fourth vertex
Answer» ANSWER :(1,-2,8)

Discussion

14429.	f:C rarr C is defined as f(x)=(ax+b)/(cx+d), bd != 0 then f is a constant function when
Answer» `a = C` `b=d` `ad=bc` `ab=cd` ANSWER :C

Discussion

14430.	Write the following intervals in set-builder form : (6, 12]
Answer» ANSWER :`{ x : x∈ R, 6 < x ≤ 12 }`

Discussion

14431.	Write the following intervals in set-builder form : [6, 12]
Answer» ANSWER :`{ X : x∈ R, 6 ≤ x ≤ 12 }`

Discussion

14432.	Find the anlge between the large hand and small hand of a clock at time 8:20.
Answer» SOLUTION :`130^(@)`

Discussion

14433.	An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola ?
Answer» ANSWER :`2.23` m (APPROX).

Discussion

14434.	At the foot of the mountain the elevation of its summit is 45^(@) After ascnding 100 mt towards the mountain up a slope of 30^(@) inclination is found to be 60^(@). The height of the mountain is
Answer» `50(sqrt(3)-1)MTS` `50sqrt(3)mts` `50(sqrt(3)+1)mts` `50(2-sqrt(3))mts` ANSWER :C

Discussion

14435.	Consider a pendulum of length 50 cms. If the tip describes an arc of length 20 cms find the angle in degree (pi=22/7)through which pendulum swings.
Answer» SOLUTION :`22^@54.`

Discussion

14436.	CV = 60 , sigma =21 ?
Answer» ANSWER :`=35`

Discussion

14437.	The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below: {:("Subject","Mathematics","Physics","Chemistry"),("Mean",42,32,40.9),("Standard deviation",12,15,20):} Which of the three subjects shows the highest variability in marks and which shows the lowest?
Answer» ANSWER :HEIGHT CHEMISTRY and LOWEST MATHEMATICS

Discussion

14438.	If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zbar(b)=bar(0)" where "bar(a), bar(b), bar(c) are non-coplanar, then (x, y, z) =
Answer» (0, 0, 0) (1, 3, 5) (1, -3, 2) (3, 1, 1) ANSWER :A

Discussion

14439.	cos x + cos y + cos z = 0 and sin x + sin y + sin z,then cos ^(2) (( x-y)/( 2)) =
Answer» `1/2` `1/4` `3/4` `1` ANSWER :B

Discussion

14440.	The principal value of sin^(-1)(-(sqrt(3))/2) is
Answer» `-(2pi)/3` `-pi/3` `(4PI)/3` `(5pi)/3` ANSWER :B

Discussion

14441.	2sin^(2)((pi),(4))+2cos^2((pi),(4))+sec^2((pi),(3)) has value .........
Answer» ANSWER :6

Discussion

14442.	If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then x belongs to
Answer» (-4,7) [-4,7] R-(-4,7) R-[-4,7] ANSWER :D

Discussion

14443.	Find the value of p, if straight line x+p=0,y+2=0 3x+2y+5=0 are concurrent.
Answer» ANSWER :`1//3`

Discussion

14444.	lim_(xto1)(x+x^(2)+x^(3)+…….+n^(n)-n)/(x-1)=……….,where nin N
Answer» `SIGMA1` `Sigman` `Sigman^(2)` `Sigman^(3)` ANSWER :B

Discussion

14445.	Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).
Answer» ANSWER :`X^(2)+y^(2)+4x-21=0&x^(2)+y^(2)-12x+11=0`

Discussion

14446.	Are the following pair of sets equal ? Give reasons. A = { x : x is a letter in the word FOLLOW} B = { y : y is a letter in the word WOLF}
Answer» ANSWER :YES

Discussion

14447.	Assume that theta is a rational multiple of pi such that cos theta isa distinct rational. The number of values of cos theta is
Answer» 3 4 5 6 Answer :C

Discussion

14448.	If the planes vecr.(hati + hatj + hatk) = q _(1) , hatr. (hati + 2 a hatj + hatk) = q _(2) and vecr.(ahati + a ^(2) hatj + hatk) = q _(3) intersect in a line, then the value of a is
Answer» 1 `1//2` 2 9 Answer :A::B

Discussion

14449.	A letter is chosen at random from the word 'ASSASSINATION'. Find the probability that letter is (i) a vowel (ii) a consonant
Answer» ANSWER :`(7)/(13)`

Discussion

14450.	Evaluate the following limits : Lim_(x to oo) (3x^(2)+2x-5)/(x^(2)+5x+1)
Answer» ANSWER :3

Discussion

Explore topic-wise InterviewSolutions in .

(sin150^(@)-5cos300^(@)+7tan 225^(@))/(tan 135^(@)+3sin 210^(@))

Express each of the following in the form b or bi, where b is a real number 5i(-8i).

If ((1+i)/(1-i))^(m)=1, then find the least positive integral value of m.

The minimum value of sqrt((e^x"^2)-1)is

For an geometric seq. (5)/2,(5)/(4),(5)/8.......a_(n) = ............. .

If P (A) is the probability for any event A. then P (A) lt P (barA).

If tan theta = 3 andtheta is in third quadrant then sin theta = 3/sqrt10.

Write Negation of the following statements: Mathematics is the queen of sciences.

Find the multiplicative inverse of the following complex number. (4+3i)/(5-3i)

Find the point of intersection of the lines 5x-3y-3=0,4x+y-1=0

Three vertices of a parallelogram ABCD are A(3, -1, 2), B(1, 2, -4) and C(-1, 1, 2). Find the coordinates of the fourth vertex.

Find the roots of the equations. Q. 2x^(2)+x-3=0

3y^(2)-x^(2)=108

The solution of the equation sec theta - cosec theta =4/3 is

For the given statements identify the necessary and sufficient conditions t: If you drive over 80 km per hour, then you will get a fine.

Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N whose elements are even numbers.

An equilateral triangle ABC has its centroid at the origin and one side 'AC' isx+y=1A point P is taken on the minor are AC of the circumeircle of triangle ABC. The maximum value of (PA+PB+PC) is equal to

9^(th) term of arithmetic sequence is 30 then sum of its 17 terms ............ .

There is an error of +-0.04 cm in the measurement of the diameter ofa sphere. When the radius is 10 cm, the percentage error in the volume of the sphere is :

If Lt_(xtooo)2^(x-1)tan(a/2^(x))=2011 then find a.

Find the approximate value of sin60^(@)1', given that (pi)/(180)=0.0175 radians

Find the orthocentre of the triangle with vertices (2,(sqrt3-1)/(2)),(1/2,-1/2),(2,1/2)

If angles A, B and C are in AP, then (a + c)/bis equal to

Find all pairs of consecutive odd natural numbers both of which are larger than 10 and their sum is less than 40.

Eccentricity of ellipse is ..........if length of latus rectum is half then minor axis.

The value of sin((pi)/(18))+sin((pi)/(9))+sin((2pi)/(9))+sin((5pi)/(18)) is

Draw a quadrilateral in the Cartesian plane, whose vertices are(-4, 5) , (0, 7) , (5, -5) " and " (-4, -2) . Also , find its area.

Three vertics of a parallelogram ABCDare A(3,-1,2) ,B (1,2,-4) and C(-1,1,2) find the coordinate of the fourth vertex

f:C rarr C is defined as f(x)=(ax+b)/(cx+d), bd != 0 then f is a constant function when

Write the following intervals in set-builder form : (6, 12]

Write the following intervals in set-builder form : [6, 12]

Find the anlge between the large hand and small hand of a clock at time 8:20.

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola ?

At the foot of the mountain the elevation of its summit is 45^(@) After ascnding 100 mt towards the mountain up a slope of 30^(@) inclination is found to be 60^(@). The height of the mountain is

Consider a pendulum of length 50 cms. If the tip describes an arc of length 20 cms find the angle in degree (pi=22/7)through which pendulum swings.

CV = 60 , sigma =21 ?

If xbar(a)+ybar(b)+zbar(c),xbar(b)+ybar(c)+zbar(a),xbar(c)+ybar(a)+zbar(b)=bar(0)" where "bar(a), bar(b), bar(c) are non-coplanar, then (x, y, z) =

cos x + cos y + cos z = 0 and sin x + sin y + sin z,then cos ^(2) (( x-y)/( 2)) =

The principal value of sin^(-1)(-(sqrt(3))/2) is

2sin^(2)((pi),(4))+2cos^2((pi),(4))+sec^2((pi),(3)) has value .........

If the angle between the vectros (x,3,-7) and (x,-x,4) is acute, then x belongs to

Find the value of p, if straight line x+p=0,y+2=0 3x+2y+5=0 are concurrent.

lim_(xto1)(x+x^(2)+x^(3)+…….+n^(n)-n)/(x-1)=……….,where nin N

Find the equation of the circle with radius 5 whose centre lies on x-axis and passes through the point (2,3).

Are the following pair of sets equal ? Give reasons. A = { x : x is a letter in the word FOLLOW} B = { y : y is a letter in the word WOLF}

Assume that theta is a rational multiple of pi such that cos theta isa distinct rational. The number of values of cos theta is

If the planes vecr.(hati + hatj + hatk) = q _(1) , hatr. (hati + 2 a hatj + hatk) = q _(2) and vecr.(ahati + a ^(2) hatj + hatk) = q _(3) intersect in a line, then the value of a is

A letter is chosen at random from the word 'ASSASSINATION'. Find the probability that letter is (i) a vowel (ii) a consonant

Evaluate the following limits : Lim_(x to oo) (3x^(2)+2x-5)/(x^(2)+5x+1)