14949 + Interview Questions in Maths in Class 11 Page 65 InterviewSolution

3201.	If inDelta ABCthe sides a,b,c are in A.P.Then
Answer» ` B gt 60 ^(@) ` ` B = 60 ^(@) ` ` B LT 60 ^(@) ` ` B ge 60 ^(@) ` ANSWER :C

Discussion

3202.	If f(x)= (x-3)/(x + 1) then f[f {f(x)}]= …….
Answer» `(X)/(2)` x `-x` `BOT` ANSWER :B

Discussion

3203.	Divide 32 into four parts which are in A.P. Such that the product of extremes is to the product of means is 7: 15
Answer» ANSWER :`2,6,10,14`

Discussion

3204.	Evaluate the following limits : Lim_( x to 1 ) [(x-1)^(2) +5]
Answer» ANSWER :5

Discussion

3205.	If underset( x to )(Lt)(ae^(x)-bcos x+c.e^(-x))/(x sinx)=2 then (a,b,c)
Answer» (1,2,1) (1,-2,1) (-1,2,1) (1,2,-1) ANSWER :A

Discussion

3206.	The value of sin[(pi)/2-sin^(-1)(-(sqrt(3))/2)]=
Answer» 1)`-1//2` 2)`1//2` 3)`1//4` 4)`1/(2sqrt(3))` Answer :B

Discussion

3207.	Ifb^(2) +c^(2)= 3a^(2)thencot B +cot C -cot A=
Answer» 0 2 1 4 Answer :A

Discussion

3208.	If the points (3,2,4),(5,4,k),(9,8,-10) are collinear, then k=
Answer» 2 3 6 `-2/3` ANSWER :D

Discussion

3209.	x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=
Answer» `- 3//4` `3//4` `3//2` `1//2` ANSWER :A

Discussion

3210.	If d_1,d_2,d_3 " be perpendiculars from the points " A(x_1,y_1),B(x_2,y_2),C(x_3,y_3)" respectively on the line " xcosalpha + ysinalpha+(sin^2alpha)/(cosalpha)=0" with " x_1,x_2,x_3 " are in G.P. and " y_1,y_2,y_3 " are in A.P. and A,C lie on the curve " y^2=4x " then " d_1,d_2,d_3 are in
Answer» A.P G.P H.P A.G..P Answer :B

Discussion

3211.	Show thatf (x) =(x-\|x\|)/(x),x ne 0is continuous on 2R- {0}
Answer» ANSWER :`-0`

Discussion

3212.	To remove the first degree terms of the equation 2xy+ 4y- 2y + 7 = 0 the shifted origin is
Answer» (2, -1) (-1, 2) (1, -2) (-2, 1) ANSWER :C

Discussion

3213.	Differentiate the following functions: x^((5)/(3))
Answer» ANSWER :`(5)/(3)X^((2)/(3))`

Discussion

3214.	If 2sec2theta = tan phi + cot phi, then one of the values of theta + phi is:
Answer» `pi//2` `pi//4` `pi//3` `pi//6` ANSWER :B

Discussion

3215.	Find the consumer price index for 2007 on basis of 2005, given that sumw=80, sumIw=11800
Answer» ANSWER :`147.5`

Discussion

3216.	If the sum of n terms of an A.P. is 3n + 2n^(2), find the common difference
Answer» ANSWER :4

Discussion

3217.	the periodof (\|Sin x+Cosx\|)/( \|Sinx \| + \|Cosx\|)is
Answer» `(PI)/(2)` `pi` `2PI` `3PI` ANSWER :2

Discussion

3218.	If f: R rarr R is defined by f(x)= [2x]-2[x] for x in R, where [x] is the greatest integer not exceeding x, then the range of f is
Answer» `{ X in R : 0 lex LE 1}` `{0, 1}` `{ x in R : x gt 0}` `{ x in R : x LT 0}` ANSWER :B

Discussion

3219.	which among the following inequality represents the intervals[2,oo)
Answer» `X-3ge5,x INR` `3x-3ge5,x in R` `3x-1ge3,x in R` `3x-1ge5,x in R` ANSWER :D

Discussion

3220.	Ifvec(PO) + vec(OQ)= vec(QO) + vec(OR) provethat the pointsP,Q,R are collinear .
Answer» ANSWER :Q

Discussion

3221.	Express cot Ain terms ofcos 2 A
Answer» ANSWER :`SQRT ((1+ COS 2 A)/( 1 - cos 2 A))`

Discussion

3222.	Determine the intervals in which f(x)=2/((x-1))+18x,AAx in R-{0} is stricly increasing and decreasing.
Answer» ANSWER :`(4ac-b^2)/(4A)`

Discussion

3223.	Draw the graphs of the following : y^(2) = x^(2)tan^(2) "" ( pi )/( 4)
Answer» ANSWER :`(##AKS_ELT_AI_MAT_XI_VIB_P02_C01_E01_027_A01##)`

Discussion

3224.	Two maiden are drawn from the verticies of anacute angles of the isosceless right angled triangle then angle between them is ..........
Answer» `COS^(-1) ""((2)/(3))` `cos^(-1) ""( (3)/(4))` `cos^(-1)""((4)/(5))` `cos^(-1) "" ((5)/(6))` ANSWER :C

Discussion

3225.	Write Negation of the following statements: Area of square is given by formula A=pi r^(2).
Answer» Answer :Area of square is not GIVEN by FORMULA `A=pir^(2)`

Discussion

3226.	The minimumvalue of (1 )/( sqrt(7) sin x+sqrt(29)cos x+ 7) is
Answer» 13 1 `1//13` 49 Answer :B

Discussion

3227.	Let P_(1),p_(2),p_(3) be the perpendicular distance between pair of parallel lines represented by x^(2)-3x-4=0, y^(2)-5y+6=0,4x^(2)+20xy+25y^(2)=0 respectively then :
Answer» `p_3ltp_2ltp_1` `p_3ltp_1ltp_2` `p_2ltp_1ltp_3` `p_1ltp_2ltp_3` ANSWER :A

Discussion

3228.	Find the roots of the equations. Q. x^(2)-2x+5=0
Answer» ANSWER :`1pm2sqrt(-1)`

Discussion

3229.	A committee of 5 persons isto be formed from a group of 6 gentleman and 4 ladies. In how many ways can this be done if the committee is to include at least one lady ?
Answer» ANSWER :` 246`

Discussion

3230.	cos^(-1)(1/(sqrt(2)))+sec^(-1)(-sqrt(2))=
Answer» `-(PI)/3` `0` `(5PI)/4` `pi` Answer :D

Discussion

3231.	Find the term independent of x in the expansion of (3x-2/(x^(2)))^(15)
Answer» ANSWER :` = - 3003 (3^(10)) (2^(5))`

Discussion

3232.	Let (bcos x)/(2 cos 2x-1)=(b+sinx)/((cos^(2)x-3sin^(2)x)tanx), b in R For any value of b for which the equation has a solution, the number of solution when x in (0,2pi) are always
Answer» infinite depends UPON VALUE of B four two Answer :C

Discussion

3233.	Write the following sets in the roaster form. C= {x\|x is a positive factor of a prime number p}
Answer» <P> ANSWER :`= {1, p}`

Discussion

3234.	If the coefficients of variations for two distributions are 40 and 50 and their S.D. are 16 and 25 respectively. Find their means.
Answer» SOLUTION :NA

Discussion

3235.	A_1 and A_2 are arithmetic mean between a and b also G_1 and G_2 are geometric mean then (G_(1).G_(2))/(A_(1)+A_2) = ............ .
Answer» ANSWER :`(AB)/(a+b)`

Discussion

3236.	{:("Column -I","Column- II"),("a) The maximum value of"{ cos ( 2A + theta) + cos( 2B + theta) }",is (where A, B are constants)","p)" 2 sin (A+B)),("b) The maximum value of" { cos 2A + cos 2B}", is (where (A+B) is constant and A,B" in (0","pi//2),"q)" 2sec (A+B)),("c) The minimum value of" { sec 2+ sec 2B} ",is (where (A + B) is constant and A,B" in (0"," pi//4),"r)" 2 cos (A+B)),("(d) The minimum value of" sqrt( { tan theta+ cot theta- 2 cos 2 (A+B)}) " ,is (where A, B are constants and" theta in (0","pi//2)")","s)" 2 cos (A-B)):}
Answer» ANSWER :A-s; B-s; C-q; D-p

Discussion

3237.	If 3A=[(1,2,2),(2,1,-2),(-2,2,-1)] then A^(-1)=
Answer» `2A^(T)` `A^(T)` `3A^(T)` `1/2A^(T)` ANSWER :B

Discussion

3238.	If A, B, C are any three sets, then A uu (A nnC) is equal to
Answer» `(A NNB) nn (A UUC)` `(A uuB)uu (A uuC)` `(Ann B) nn (A nn C)` NONE of these Answer :A

Discussion

3239.	Find the derivative of cos x from first principle .
Answer» ANSWER :`-SINX`

Discussion

3240.	If three consecutive coefficients in the expansion of (1+x)^(n) are in the ratio 6:33:110, find n.
Answer» ANSWER :N = 12

Discussion

3241.	A vector bara of magnitude 50 is collinear with the vector 6bari -8barj-15/2bark and making an obtuse angle with Z-axis is
Answer» `24bari-32barj-30bark` `-24bari+32barj+30bark` `24bari+32barj-30bark` `-24bari-32barj+30bark` ANSWER :A

Discussion

3242.	If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.
Answer» ANSWER :1

Discussion

3243.	Evaluate the limits. Lt_(xto0)x/(sqrt(x+25)-5)
Answer» ANSWER :10

Discussion

3244.	A quadratic function in x has the value 9 when x = 1 and has a maximum value 10 when x = 2. Find the function.
Answer» `x^2-4x+6` `-x^2+4x+6` `-x^2-4x-6` `x^2+4x+6` ANSWER :B

Discussion

3245.	Find 'a' so that the sum of the roots of the equation ax^(2)+2x-3a=0 may be equal to their product.
Answer» ANSWER :`-(2)/(3)`

Discussion

3246.	Write the equation of the plane 4x-4y+2z+5=0 in the intercept form.
Answer» ANSWER :`(X)/((-5//4))+(y)/((5//4))+(Z)/((-5//2))=1`

Discussion

3247.	A circular wire of radius 7 cm is cut and arrange on the diameter of a circle with radius 12 cm. The angle subtended by it at the centre of the circle is …………
Answer» `(6PI)/(7)` `(7pi)/(6)` `(5PI)/(9)` `(pi)/(3)` ANSWER :B

Discussion

3248.	Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.
Answer» ANSWER :`COS^(-1)"60/77`

Discussion

3249.	Find the value of cos^(4)((pi)/(8))+cos^(4)((3pi)/(8))+cos^(4)((5pi)/(8))+cos^(4)((7pi)/(8)).
Answer» ANSWER :`(3)/(2)`

Discussion

3250.	Find the middle term in the expansions of (3 - x^3/6)^7
Answer» ANSWER :`105/8` `x^9,.35/48 x^12`

Discussion

Explore topic-wise InterviewSolutions in .

If inDelta ABCthe sides a,b,c are in A.P.Then

If f(x)= (x-3)/(x + 1) then f[f {f(x)}]= …….

Divide 32 into four parts which are in A.P. Such that the product of extremes is to the product of means is 7: 15

Evaluate the following limits : Lim_( x to 1 ) [(x-1)^(2) +5]

If underset( x to )(Lt)(ae^(x)-bcos x+c.e^(-x))/(x sinx)=2 then (a,b,c)

The value of sin[(pi)/2-sin^(-1)(-(sqrt(3))/2)]=

Ifb^(2) +c^(2)= 3a^(2)thencot B +cot C -cot A=

If the points (3,2,4),(5,4,k),(9,8,-10) are collinear, then k=

x = cos 55^(@), y = cos 65^(@), z= cos 175^(@) " then " xy+yz+ zx=

If d_1,d_2,d_3 " be perpendiculars from the points " A(x_1,y_1),B(x_2,y_2),C(x_3,y_3)" respectively on the line " xcosalpha + ysinalpha+(sin^2alpha)/(cosalpha)=0" with " x_1,x_2,x_3 " are in G.P. and " y_1,y_2,y_3 " are in A.P. and A,C lie on the curve " y^2=4x " then " d_1,d_2,d_3 are in

Show thatf (x) =(x-|x|)/(x),x ne 0is continuous on 2R- {0}

To remove the first degree terms of the equation 2xy+ 4y- 2y + 7 = 0 the shifted origin is

Differentiate the following functions: x^((5)/(3))

If 2sec2theta = tan phi + cot phi, then one of the values of theta + phi is:

Find the consumer price index for 2007 on basis of 2005, given that sumw=80, sumIw=11800

If the sum of n terms of an A.P. is 3n + 2n^(2), find the common difference

the periodof (|Sin x+Cosx|)/( |Sinx | + |Cosx|)is

If f: R rarr R is defined by f(x)= [2x]-2[x] for x in R, where [x] is the greatest integer not exceeding x, then the range of f is

which among the following inequality represents the intervals[2,oo)

Ifvec(PO) + vec(OQ)= vec(QO) + vec(OR) provethat the pointsP,Q,R are collinear .

Express cot Ain terms ofcos 2 A

Determine the intervals in which f(x)=2/((x-1))+18x,AAx in R-{0} is stricly increasing and decreasing.

Draw the graphs of the following : y^(2) = x^(2)tan^(2) "" ( pi )/( 4)

Two maiden are drawn from the verticies of anacute angles of the isosceless right angled triangle then angle between them is ..........

Write Negation of the following statements: Area of square is given by formula A=pi r^(2).

The minimumvalue of (1 )/( sqrt(7) sin x+sqrt(29)cos x+ 7) is

Let P_(1),p_(2),p_(3) be the perpendicular distance between pair of parallel lines represented by x^(2)-3x-4=0, y^(2)-5y+6=0,4x^(2)+20xy+25y^(2)=0 respectively then :

Find the roots of the equations. Q. x^(2)-2x+5=0

A committee of 5 persons isto be formed from a group of 6 gentleman and 4 ladies. In how many ways can this be done if the committee is to include at least one lady ?

cos^(-1)(1/(sqrt(2)))+sec^(-1)(-sqrt(2))=

Find the term independent of x in the expansion of (3x-2/(x^(2)))^(15)

Let (bcos x)/(2 cos 2x-1)=(b+sinx)/((cos^(2)x-3sin^(2)x)tanx), b in R For any value of b for which the equation has a solution, the number of solution when x in (0,2pi) are always

Write the following sets in the roaster form. C= {x|x is a positive factor of a prime number p}

If the coefficients of variations for two distributions are 40 and 50 and their S.D. are 16 and 25 respectively. Find their means.

A_1 and A_2 are arithmetic mean between a and b also G_1 and G_2 are geometric mean then (G_(1).G_(2))/(A_(1)+A_2) = ............ .

If 3A=[(1,2,2),(2,1,-2),(-2,2,-1)] then A^(-1)=

If A, B, C are any three sets, then A uu (A nnC) is equal to

Find the derivative of cos x from first principle .

If three consecutive coefficients in the expansion of (1+x)^(n) are in the ratio 6:33:110, find n.

A vector bara of magnitude 50 is collinear with the vector 6bari -8barj-15/2bark and making an obtuse angle with Z-axis is

If the vertices of a triangle have integral coordinates, then the triangle can not be equilateral.

Evaluate the limits. Lt_(xto0)x/(sqrt(x+25)-5)

A quadratic function in x has the value 9 when x = 1 and has a maximum value 10 when x = 2. Find the function.

Find 'a' so that the sum of the roots of the equation ax^(2)+2x-3a=0 may be equal to their product.

Write the equation of the plane 4x-4y+2z+5=0 in the intercept form.

A circular wire of radius 7 cm is cut and arrange on the diameter of a circle with radius 12 cm. The angle subtended by it at the centre of the circle is …………

Find the angle between the planes 2x-3y-6z=5 and 6x+2y-9z = 4.

Find the value of cos^(4)((pi)/(8))+cos^(4)((3pi)/(8))+cos^(4)((5pi)/(8))+cos^(4)((7pi)/(8)).

Find the middle term in the expansions of (3 - x^3/6)^7