14949 + Interview Questions in Maths in Class 11 Page 215 InterviewSolution

10701.	If f and g are one- one functions, then
Answer» `f+G` is one-one f g is one-one fog is one-one gof is not-one -one Answer :C

Discussion

10702.	If a cos A = b cos B then triangle ABC is
Answer» RIGHT ANGLED or ISOSCELES Isosceles Rightangled Scalane ANSWER :A

Discussion

10703.	Determine whether p,q and "If p, then q " are true or false in each case given below : 1 > 5
Answer» <P> ANSWER :`{:(p,Q,p =>q),(F,T,T):}`

Discussion

10704.	A light ray coming along the line 3x+4y=5 gets reflected from the line ax+by=1 and goes along the line 5x-12y=10. Then,
Answer» `a=64/115,B=112/15` `a=14/15,b=112/15` `a=64/115,b=(-8)/115` `a=64/15,b=14/15` ANSWER :B::C

Discussion

10705.	Rewrite each of the following statements in the form of conditional statements: You will fail, if you will not study.
Answer» ANSWER :You will not STUDY you will FAIL.

Discussion

10706.	(nP_4)/((n-1)P_4) =5/3 then n = ......... (where n gt 4 )
Answer» ANSWER :10

Discussion

10707.	find the middle term in the expansion of (3x+2y)^8
Answer» SOLUTION :`90720x^4y^4]`

Discussion

10708.	If a set A has 2 elements then how many elements are there in n(A xx A xx A) ?
Answer» ANSWER :8

Discussion

10709.	The minimum value of 27 tan^2 theta+3 cot ^2 theta is
Answer» 15 18 24 30 Answer :B

Discussion

10710.	If "cot"^(-1)n/(pi)gt(pi)/6n in N then the maximum value of n is
Answer» 6 7 5 None of these Answer :C

Discussion

10711.	In the parallelogram if bar(AB)=bar(a) and bar(AD)=bar(d) then find bar(BD).
Answer» ANSWER :`BAR(BD)=bar(d)-bar(a)`

Discussion

10712.	If g(x) =root(3)(x^(2)+11), f(x) = sqrt(x^(3)-2), then fog(-4)-
Answer» 3 4 5 6 Answer :C

Discussion

10713.	For all a ,b I R the functio f(x)=3x^(4)-4x^(3)+6x^(2)+ax+b has
Answer» noextremum EXACTLY ONE extremum exactly TWO extremum three extremum Answer :B

Discussion

10714.	Evaluate the following limits : Lim_(x to 0 ) (7x^(2) - 5x +1)
Answer» ANSWER :1

Discussion

10715.	A pointis in the XZ plane what can you say about itsy coordinate
Answer» ANSWER :y -COORDINATE is ZERO

Discussion

10716.	Solve 5cos^(2)theta+7sin^(2)theta=6
Answer» ANSWER :`N PI PM (pi)/(4)`

Discussion

10717.	( r_1)/( (s.b) (s.c) )
Answer» ` (1)/(2R) ` ` ( 2 )/( R ) ` ` (1 )/( r ) ` ` r` Answer :C

Discussion

10718.	If ABCD is a cyclic quadrilateral thenco (180^(@) +A) + cos (180^(@) - B) +cos(180^(@)-C) - sin (90^(@) - D)=
Answer» -1 0 1 2 Answer :B

Discussion

10719.	bara, barb, barc are three unit vectors, barb is not parallel to barc and baraxx (barb xx barc) = 1/2barb then (bara, barb)= .... , (bara, barc) =
Answer» 90°, 60° 45°, 45° 60°, 30° 90°, 45° Answer :A

Discussion

10720.	Which of the following pairs of sets are equal? Justify your answer. (i) X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”. (ii) A ={n : n ∈ Z and n^(2) ≤ 4} and B = {x : x ∈ R and x^(2) – 3x + 2 = 0}.
Answer» ANSWER :Then X and B are EQUAL SETS.

Discussion

10721.	The equation (b-c)x+(c-a)y+a-b=0 (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0 will represent the same line if
Answer» `a=B=c` `a+b+c=0` `a//b=c//a` `a-b-c=0` ANSWER :B

Discussion

10722.	Let y = e^(2x). Then ((d^2y)/(dx^2)) ((d^2x)/(dy^2)) =
Answer» `1` `E^(-2X)` `2E^(-2x)` `-2e^(-2x)` ANSWER :D

Discussion

10723.	If the angles of a triangle are in A.P., then the measure of one of the angles in radians is
Answer» `(pi)/(6)` `(pi)/(3)` `(pi)/(2)` `(2PI)/(3)` ANSWER :C

Discussion

10724.	The relation f is defined by f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):} The relation g is defined by g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):} Show that f is a function and g is not a function.
Answer» ANSWER :G is not a FUNCTION

Discussion

10725.	Goals scored by two teams A and B in a football season were as follows: By calculating the coefficient of variation in each case find which team may be considered more consistent.
Answer» ANSWER :B

Discussion

10726.	If x=1+a+a^(2)+...oo, a lt 1 and y=1+b+b^(2)+...oo, b lt 1, then 1+ab+a^(2)b^(2)+...oo :
Answer» `(x+y+XY)/(x+y-1)` `(x+y)/(x+y-1)` `(xy)/(x+y-1)` NONE of these Solution :N/a

Discussion

10727.	Range of greatest integer function is…….
Answer» N Z Q R Answer :B

Discussion

10728.	A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by F=(9)/(5) C+32 ?
Answer» ANSWER :Between `20^(@) C and 25^(@) C`

Discussion

10729.	Solution of the equation 2cos x + 1 = 0 is ...........
Answer» ANSWER :`{x\|x=2kpipm(2PI)/3K INZ}`

Discussion

10730.	3y - 5x lt 15
Answer» SOLUTION :

Discussion

10731.	Number of solutions of equationn sin^(2)theta-1 4/(sin^(3)theta-1)=1-4/(sin^(3)theta-1), theta in [0,6pi]
Answer» 2 4 6 8 Answer :C

Discussion

10732.	Find the value of cosec15^(@)
Answer» ANSWER :`SIN 30^(@)`

Discussion

10733.	Write the equation of the line through the points (1, - 1) " and " (3, 5) .
Answer» ANSWER :`-3X + y + 4 = 0 `

Discussion

10734.	Solve the following equations: x^(2)-(3 sqrt(2)+2i)x+6 sqrt(2)i=0
Answer» ANSWER :`2I, 3sqrt(2)`

Discussion

10735.	If \|{:(5,-3),(a,3):}\|=18,\|{:(1,0,0),(2,3,4),(5,-6,b):}\|=45,\|{:(2,1,0),(3,-1,2),(-1,5,c):}\|=3 then the ascending order a,b,c is
Answer» a,B,C b,c,a c,a,b b,a,c Answer :C

Discussion

10736.	The approximate change in y, when y=(1)/(x^(2)) x=1, deltax=-0.01 is
Answer» `-0.02` 2 0.06 0.02 Answer :D

Discussion

10737.	Statment - I : \|{:(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0):}\|=2a^(3)b^(3)c^(3) Statment - II : \|{:(2ab,a^(2),b^(2)),(a^(2),b^(2),2ab),(b^(2),2ab,a^(2)):}\|=(a^(3)+b^(3))^(2) Which of the above statement(s) is true ?
Answer» only I is true only II is true Both I and II re true neither I II are true Answer :A

Discussion

10738.	The range of x^(2)+4y^(2)+9z^(2) - 6yz-3xz-2xy is
Answer» `phi` R `[0, OO)` `(-oo, 0)` ANSWER :C

Discussion

10739.	Find the multiplicative inverse of 2 - 3i.
Answer» ANSWER :`2/13+ 3/13i`

Discussion

10740.	If the solutions of cosp theta+cosqtheta=0 are I A.P. the the common difference of A.P. is
Answer» `(PI)/(p+q)or(pi)/(p-q)` `(2PI)/(p+q)or(2pi)/(p-q)` `(pi)/(2(p+q))or(pi)/(2(p-q))` `(2pi)/(p+q)or(pi)/(2(p-q))` ANSWER :B

Discussion

10741.	If the linear equations ax+by+c=0, (a,b,c!=0) and lx+my+n=0 represent the same line and r=l/a=n/c, write the values of r in the terms m and b.
Answer» ANSWER :`m/b`

Discussion

10742.	The transformed equation of 2x^(2)-3y^(2)+z^(2)+4x+6y-4z-2=0 when the axes are translated to the point (-1, 1, 2) is
Answer» `2x^(2)-3Y^(2)+z^(2)=10` `2x^(2)-3y^(2)+z^(2)=5` `2x^(2)+3y^(2)+z^(2)=5` `2x^(2)-3y^(2)+z^(2)=10` ANSWER :A

Discussion

10743.	Find the 10 th term of the geometric series: 5+25+125+…………. Also find its nth term.
Answer» ANSWER :`5^(N)`

Discussion

10744.	((n),(r))+2.((n),(r-1))+((n),(r-2))=((n+2),(r))
Answer» ANSWER :TRUE STATEMENT

Discussion

10745.	Write the first five terms of each of the sequenceswhose n^(th)terms are: a_n=n(n+2)
Answer» ANSWER :3,8,15,24,35

Discussion

10746.	Find the sum to n terms of this series
Answer» SOLUTION :`n/12(n+1)(3n^2+23n+34)`

Discussion

10747.	23 - \| 2x + 3\| has maximum value .................
Answer» ANSWER :23

Discussion

10748.	Find the derivative of w.r.to x (cot x) ^(n)
Answer» Answer :`n cot ^(n -1) X. cosec ^(2) x`

Discussion

10749.	Find the value of 'a' so that Iff(x) = {{:((sqrt(1 + kr )- sqrt(1 - kr))/(x) " for " - 1 le x lt 0),(2x^(2) + 3x - 2" for " 0 le x le 1 ):}is continuous at x =0 , then find k .
Answer» ANSWER :`a=-32,b=-28`

Discussion

10750.	Evaluate Lt_(x to 0)((1+x)^(1//8) - (1 - x)^(1//8))/(x)
Answer» ANSWER :`1/4`

Discussion

Explore topic-wise InterviewSolutions in .

If f and g are one- one functions, then

If a cos A = b cos B then triangle ABC is

Determine whether p,q and "If p, then q " are true or false in each case given below : 1 > 5

A light ray coming along the line 3x+4y=5 gets reflected from the line ax+by=1 and goes along the line 5x-12y=10. Then,

Rewrite each of the following statements in the form of conditional statements: You will fail, if you will not study.

(nP_4)/((n-1)P_4) =5/3 then n = ......... (where n gt 4 )

find the middle term in the expansion of (3x+2y)^8

If a set A has 2 elements then how many elements are there in n(A xx A xx A) ?

The minimum value of 27 tan^2 theta+3 cot ^2 theta is

If "cot"^(-1)n/(pi)gt(pi)/6n in N then the maximum value of n is

In the parallelogram if bar(AB)=bar(a) and bar(AD)=bar(d) then find bar(BD).

If g(x) =root(3)(x^(2)+11), f(x) = sqrt(x^(3)-2), then fog(-4)-

For all a ,b I R the functio f(x)=3x^(4)-4x^(3)+6x^(2)+ax+b has

Evaluate the following limits : Lim_(x to 0 ) (7x^(2) - 5x +1)

A pointis in the XZ plane what can you say about itsy coordinate

Solve 5cos^(2)theta+7sin^(2)theta=6

( r_1)/( (s.b) (s.c) )

If ABCD is a cyclic quadrilateral thenco (180^(@) +A) + cos (180^(@) - B) +cos(180^(@)-C) - sin (90^(@) - D)=

bara, barb, barc are three unit vectors, barb is not parallel to barc and baraxx (barb xx barc) = 1/2barb then (bara, barb)= .... , (bara, barc) =

Which of the following pairs of sets are equal? Justify your answer. (i) X, the set of letters in “ALLOY” and B, the set of letters in “LOYAL”. (ii) A ={n : n ∈ Z and n^(2) ≤ 4} and B = {x : x ∈ R and x^(2) – 3x + 2 = 0}.

The equation (b-c)x+(c-a)y+a-b=0 (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0 will represent the same line if

Let y = e^(2x). Then ((d^2y)/(dx^2)) ((d^2x)/(dy^2)) =

If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

The relation f is defined by f(x)={{:(,x^(2), 0 le x le 3),(,3x,3 le x le 10):} The relation g is defined by g(x)={{:(,x^(2),0 le x le 2),(,3x,2 le x le 10):} Show that f is a function and g is not a function.

Goals scored by two teams A and B in a football season were as follows: By calculating the coefficient of variation in each case find which team may be considered more consistent.

If x=1+a+a^(2)+...oo, a lt 1 and y=1+b+b^(2)+...oo, b lt 1, then 1+ab+a^(2)b^(2)+...oo :

Range of greatest integer function is…….

A solution is to be kept between 68° F and 77° F. What is the range in temperature in degree Celsius (C) if the Celsius / Fahrenheit (F) conversion formula is given by F=(9)/(5) C+32 ?

Solution of the equation 2cos x + 1 = 0 is ...........

3y - 5x lt 15

Number of solutions of equationn sin^(2)theta-1 4/(sin^(3)theta-1)=1-4/(sin^(3)theta-1), theta in [0,6pi]

Find the value of cosec15^(@)

Write the equation of the line through the points (1, - 1) " and " (3, 5) .

Solve the following equations: x^(2)-(3 sqrt(2)+2i)x+6 sqrt(2)i=0

If |{:(5,-3),(a,3):}|=18,|{:(1,0,0),(2,3,4),(5,-6,b):}|=45,|{:(2,1,0),(3,-1,2),(-1,5,c):}|=3 then the ascending order a,b,c is

The approximate change in y, when y=(1)/(x^(2)) x=1, deltax=-0.01 is

Statment - I : |{:(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0):}|=2a^(3)b^(3)c^(3) Statment - II : |{:(2ab,a^(2),b^(2)),(a^(2),b^(2),2ab),(b^(2),2ab,a^(2)):}|=(a^(3)+b^(3))^(2) Which of the above statement(s) is true ?

The range of x^(2)+4y^(2)+9z^(2) - 6yz-3xz-2xy is

Find the multiplicative inverse of 2 - 3i.

If the solutions of cosp theta+cosqtheta=0 are I A.P. the the common difference of A.P. is

If the linear equations ax+by+c=0, (a,b,c!=0) and lx+my+n=0 represent the same line and r=l/a=n/c, write the values of r in the terms m and b.

The transformed equation of 2x^(2)-3y^(2)+z^(2)+4x+6y-4z-2=0 when the axes are translated to the point (-1, 1, 2) is

Find the 10 th term of the geometric series: 5+25+125+…………. Also find its nth term.

((n),(r))+2.((n),(r-1))+((n),(r-2))=((n+2),(r))

Write the first five terms of each of the sequenceswhose n^(th)terms are: a_n=n(n+2)

Find the sum to n terms of this series

23 - | 2x + 3| has maximum value .................

Find the derivative of w.r.to x (cot x) ^(n)

Find the value of 'a' so that Iff(x) = {{:((sqrt(1 + kr )- sqrt(1 - kr))/(x) " for " - 1 le x lt 0),(2x^(2) + 3x - 2" for " 0 le x le 1 ):}is continuous at x =0 , then find k .

Evaluate Lt_(x to 0)((1+x)^(1//8) - (1 - x)^(1//8))/(x)