28278 + Interview Questions in Maths in Class 12 Page 130 InterviewSolution

6451.	Find the direction cosines of the vector 'hati+2 hatj+3 hatk'
Answer» SOLUTION :The DIRECTION COSINES are `1/sqrt(1^2+2^2+3^2), 2/sqrt(1^2+2^2+3^2), 3/sqrt(1^2+2^2+3^2)` i.e.,` 1/sqrt(14),2/sqrt(14 ,3/sqrt(14)`

Discussion

6452.	If a function is continuous at x=a, then findlim_(hto0)+1/2{f(a+h)-f(a-h)}
Answer» SOLUTION :`lim_(xto0+)1/2{F(a+h)-f(a-h)}` `=1/2{f(a)-f(a)}=0`

Discussion

6453.	If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c in [0,1]:
Answer» 2f(c ) = G(c ) 2f(c )=3g(c ) F(c )=g(c ) f(c ) =2G (C ) ANSWER :D

Discussion

6454.	Let X and Y be two sets Statement-I : X cap(Y cupX)'=phi Statement-II : If n(X cupY)=P and n(X capY)=phi then n(XDeltaY)=P-Q ["where "X DeltaY=(A-B) cup(B-A)]
Answer» Statement-I is TRUE, Statement-II is true and Statement-II is a CORRECT EXPLANATION for statement-I. Statement-I is true, Statement-II is true but Statement-II is not a correct explanation of Statement-I. Statement-I is true, Statement-II is FALSE. Statement-I is false,Statement-II is true. Answer :B

Discussion

6455.	A launched 3 products in the year 2007 and earns income from the sales of the products only. The top graph shows his monthly earning for the year B's earning consist of continuously growing salary growing by same amount each month as shown if the figure. Which one of the following equal the total earning of A and B in the year 2007?
Answer» 7500, 8100 7850, 8300 8150, 8400 8400, 8100 Answer :D

Discussion

6456.	Find out the total number of elements which produce hydrogen gas with "dil"//"conc."HNO_(3). Zn, Mg, Al, Cu, Zn, Sn, Mn,
Answer» SOLUTION :MN, MG

Discussion

6457.	An observer standing at a point P on the top of a hill near the sea-shore notices that the angle of depression of a ship moving towards the hill in a straight line at a constant speed is 30^(@). After 45 minutes, this angle becomes 45^(@). If T (in minutes) is the total time taken by the ship to move to a point in the sea where the angle of depression from P of the ship is 60^(@), then T is equal to
Answer» `45(1+(1)/(sqrt(3)))` `45 (1+sqrt(3))` `45(1+(2)/(sqrt(3)))` `45(2+(1)/(sqrt(3)))` ANSWER :A

Discussion

6458.	If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma):}] is a orthogonalmatrix then ………
Answer» `alpha=+-(1)/(sqrt(2))` `BETA=+-(1)/(sqrt(6))` `gamma=+-(1)/(sqrt(3))` Given all Answer :D

Discussion

6459.	findthe areaenclosedby thecurvey= -x^2and thestraightlinex+y +2=0
Answer» ANSWER :`=9/2` SEQ. UNIT

Discussion

6460.	The tangent at (1,7) to the curve x^(2) = y - 6x touches the circle x^(2) + y^(2) + 16x + 12 y + c = 0 at
Answer» (6,7) (-6, 7) (6, -7) (-6,-7) Solution :The TANGENT at (1, 7) to the parabola `x^(2) = y - 6x` is `x (1) = (1)/(2) (y + 7) - 6` [replacing `x^(2) to xx_(1)` and `2y to y + y_(1)`] `implies 2x = y + 7 - 12` `implies y = 2x + 5` Which is also tangents to the circle `x^(2) + y^(2) + 16X + 12 y + c = 0` i.e., `x^(2) + (2x + 5)^(2) + 16x + 12 (2x + 5) + C = 0` must have equal, ROOLS i.e., `alpha = beta` `implies 5x^(2) + 60x + 85 + c = 0` `implies alpha + beta = (-60)/(5)` `implies alpha = - 6` `:. x = - 6` and `y = 2x + 5 = - 7` `:.` POINT of contact is (-6, -7).

Discussion

6461.	If 5 is added to each and every item of a data, then the A.M. is
Answer» 5 TIMES to the FIRST A.M. increased by 5 to the first A.M. equal to the first A.M. decreased by 5 to the first A.M. Answer :B

Discussion

6462.	Solve the following D.E's (i) (dy)/(dx) = (6x+5y - 7)/(2x+18y - 14) (ii) (x-y-2)dx+(x-2y-3)dy = 0 (iii) (2x + 3y-8) dx = (x+y-3) dy
Answer» Answer :(i) `(3y - 2x-1)^(2)(2Y+x-2) = c` (II) `[(x^(2) - 2y^(2) - 2x - 4y - 2) = c[(x-ysqrt(2)-SQRT(2)-1)/(x+ysqrt(2) + sqrt(2) - 1)]^((1)/(sqrt(2)))]` (iii) `sqrt(3) log (Y^(2) - 2XY - 2X^(2)) + 2LOG {(Y-1(1+sqrt(3))X)/(Y-(1-sqrt(3))X)} = C` Where X = x-1, Y = y-2.

Discussion

6463.	Ifl_(1) = lim_(x to 2^(+)) (x + [x]) , l_(2) = lim_(x to 2^(-)) (2x - [x]) andl_(3) = lim_( x to pi//2)(cos x)/( x - pi//2) is
Answer» ` l_(1) LT l_(2) lt l_(3)` `l_(2) , l_(3) , l_(1)` `l_(3)lt l_(2)lt l_(2)` `l_(1) , lt l_(3) lt l_(2)` ANSWER :C

Discussion

6464.	If (1,2, p), (2, 8, -6) and (alpha^(2)-2alpha,p,1) are ordered triplet pair of the form (x, y, z) which satisfy all the equations (x)/(a)+(y)/(b)+(z)/(c )=1, (x)/(b)+(y)/(c )+(z)/(a)=1 and (x)/(c )+(y)/(a)+(z)/(b)=1, then the sum of all the values of alpha is equal to (where, ab+bc+ca ne0)
Answer» 3 2 0 `-2` ANSWER :B

Discussion

6465.	If the two lines of regression are 3x - 2y+1 = 0 and 2x -y-2=0 , then bar x+baryis equal to:
Answer» 5 8 13 3 Answer :C

Discussion

6466.	The locus of the point z in the argrand plane for which \|z+1\|^2+\|z-1\|^2=4 is a
Answer» straight LINE pair of straight LINES CIRCLE PARABOLA Answer :C

Discussion

6467.	If f(x)=sum_(r=0)^(20) .^(20)C_(r) (In (1+x))^(r),g(x)=sum_(r=0)^(20)(-1)^(r).^(20)C_(r)(1+3sinx)^(20-r) then,
Answer» `sum_(r=0)^(oo)(G(pi//6))^(r)=(6^(20))/(2^(20)-1)` `sum_(r=0)^(oo)(g(pi//6))^(r)=(6^(30))/(2^(20)-1)` If `h (x)=[f(x)]^(1//20)` then `sum_(r=0)^(oo) [h(x^(2^(r)))-1]` (where `\|x\|lt1)=-In(1-x)` `h(x)=[f(x)]^(1//20)` then `sum_(r=0)^(oo) [h(x^(2^(r)))-1]` where `\|x\|lt1)=In(1-x)` Solution :ac

Discussion

6468.	int_(0)^(1)(dx)/(e^(x)+e^(-x))=
Answer» ANSWER :`TAN^(-1) E - (pi)/(4)`

Discussion

6469.	If z_(1),z_(2),"……"z_(n) are complex numbers such that \|z_(1)\|=\|z_(2)\|="…."=\|z_n\|=1, then \|z_(1)+z_(2)+"….."+z_(n)\| is equal to
Answer» `\|z_(1)z_(2)z_(3)"……."z_(n)\|` `\|z_(1)\|+\|z_(2)\|+"……."+\|z_(n)\|` `\|(1)/(z_1)+(1)/(z_2)+"….."+(1)/(z_n)\|` `n` Answer :C

Discussion

6470.	A rectangular hyperbola of latus rectum 2 units passes through (0,0) and has S(l, 0) as one of its foci. The other focus lies on a circle of diameter
Answer» ANSWER :6

Discussion

6471.	Let vec(a) = hat(i) + hat(j), vec(b) = 3 hat(i) + 4 hat(k) and vec (b) = vec(c) + vec(d), where vec(c) is parallel to vec(a) and vec(d)is perpendicular to vec(a). If vec(d) = x hat(i) + y hat(j) + z hat(k), then which of the following equations is/are correct ? 1. y-x=4 2. 2z-3=0 Select the correct answer using the code given below:
Answer» 1 only 2 only Both 1 and 2 NEITHER 1 nor 2 Solution :Since z=4 and `X=(3)/(2), y=-(3)/(2)`. So, neither 1 nor 2 is correct.

Discussion

6472.	If triangleABC is right angle at A, then r_2+r_3 is equal to
Answer» `r_1-R` `r_1+r` `r-r_1` `R` ANSWER :A

Discussion

6473.	A die is thrown 3 times. Find the probability of the event of getting the sum of the numbers thrown as 15 when it is known that first throw was a five.
Answer» ANSWER :`(1)/(12)`

Discussion

6474.	If A_(1)A_(2)A_(3)A_(4)A_(5) be regular pentgon inscribed in anunit circle. Then (A_(1)A_(2))(A_(1)A_(3)) is equal to
Answer» 1 3 4 `SQRT5` ANSWER :D

Discussion

6475.	There are two children in a family. It is known that at least one child is a boy, then find the probability that both are boys.
Answer» SOLUTION :NA

Discussion

6476.	If cosB = (sinA)/(2sinC) prove that the triangle is isosceles.
Answer» SOLUTION :If cosB = (SINA)/(2sinC) `rArr (c^2+ a^2-b^2)/(2ca) = a/92c) rArr c^2 + a^2 - b^2 = a^2` or,` c^2 = b^2 PR c = b` `therefore` the TRIANGLE is ISOSCELES.

Discussion

6477.	Statement-1 : If cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-(3)/(2), then : sinalpha+sinbeta+singamma =cosalpha+cosbeta+cosgamma=0 Statement-2 : a^(2)+b^(2)=0impliesa=b=c.
Answer» Statement-1 is TRUE, statement-2 is true, statement-2 is a CORRECT EXPLANATION for statement-6 Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-6 Statement-1 is true, statement-2 is FALSE Statement-1 is false, statement-2 is true Answer :A

Discussion

6478.	Two dice are rolled and the probability distribution of the sum of the numbers on the dice is formed. Find the mean of the sum.
Answer» ANSWER :7

Discussion

6479.	The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is
Answer» `AB` SQ UNITS `(a^(2)+B^(2))/(2)` sq units `(a+b)^(2)/(2)` sq units `(a^(2)+ab+b^(2))/(2)` sq units Answer :A

Discussion

6480.	Find the slope of the lines whose inclinations are given.135^@.
Answer» SOLUTION :SLOPE = `tan135^@` =-1.

Discussion

6481.	To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper bags, scrap books and pastel sheets made by them using recycled paper, at the rate of Rs. 20, Rs. 15 and Rs. 5 per unit respectively. School A sold 25 paper bags, 10 scrap books and 30 pastel sheets, School B sold 20 paper bag, 15 scrap book and 30 pastel-sheets While school C sold 25 paper bags, 18 scrap books and 35 pastel sheets. Using matrices, find the total amount raised by each school.
Answer» ANSWER :SCHOOL A = Rs. 850 School B = Rs. 805 School C = Rs. 970

Discussion

6482.	Two cards are drawn with replacement from a well shufflied deck of 52 cards . Find the mean and variance for thenumber of aces .
Answer» ANSWER :`"Mean"=(2)/(13)`, `"VAR(X)"=(24)/(169)`

Discussion

6483.	If y = 2 cos (2 log x) + 3 sin (2log x), then x ^(2) y^(n) + xy' + 2y=
Answer» `-2Y` `2y` 0 4 Answer :A

Discussion

6484.	1 +(2)/(4)+(2.5)/(4.8)+ (2.5.8)/(4.8.12) + (2.5.8.11)/(4.8.12.16)+ …isequal to
Answer» `4^(-2//3 ) ` `3sqrt (16) ` `3sqrt4 ` `4^(3//2 ) ` SOLUTION : `1 +(2)/(4)+(2.5)/(4.8)+(2.5.8)/(4.8.12)+ … ` `(1 + x )^n= 1+ (nx )/(1 ! )+ (n (n - 1 ))/(2 ! ) x ^ 2+(n(n - 1 ) (n - 2 )) /(3! ) x ^ 3+ … ` On comparingthe abovetwoexpansions with , we get, `therefore(nx )/( 1! )= (2 )/(4)"" `...(1) ` (n(n - 1 ))/(2 ! ) x ^ 2= (2.5)/(4.8)"" `...(2) ` (n(n - 1 )(n - 2 ))/(3 ! ) x ^ 3= (2.5.8)/(4.8.12) "" `...(3) (2)` div`(1) ` ((n-1))/(2)x= (5)/(8)RARR(n-1)n =(5 )/(4) "" `...(4) `(3)div(2) ` ` ((n-2) x )/(3)=(8)/(12)rArr(n-2 ) x= 2 "" ...(5) ` ` (4) -(5) ` `x =(5)/(4)- 2` `x = (-3)/(4) ` `therefore((n-1))/(2)((-3)/(2))=(5)/(8) ` `thereforen =(-2)/(3) ` `therefore1 +(2)/(4)+(2.5)/(4.8)+ (2.5.8)/(4.8.12)+ ... =(1 - (3)/(4)) ^(-2/3) ` `= ((1)/(4)) ^(-2/3) ` `= 4 ^(2//3 ) ` `= 3sqrt(16)`

Discussion

6485.	Which one of the following statement is neither a tautology nor a fallacy?
Answer» <P>`PVV(p^^q)` `(PVVQ)^^(p^^q)` `(p^^q)to p` `(pvvq)to(pvvq)` SOLUTION :

Discussion

6486.	int(dx)/(1+cosa cosx)=
Answer» `(1)/(sina)TAN^(-1)(tan((X)/(2))tan((a)/(2)))+c` `(2)/(sina)tan^(-1)(tan((x)/(2))tan((a)/(2)))+c` `(1)/(COSA)tan^(-1)(tan((x)/(2))tan((a)/(2)))+c` `(2)/(cosa)tan^(-1)(tan((x)/(2))COT((a)/(2)))+c` Answer :B

Discussion

6487.	If there is an error 4% in the area of circle, then the error in radius is ………..
Answer» `1%` `2%` `3%` `4%` Answer :B

Discussion

6488.	If A and B are independent events, then A' and B' are also independent.
Answer» ANSWER :1

Discussion

6489.	If angle C of the triangle ABC is right angle and the coordinates of A and B are (-3,4) and (3,-4) respectively, then the equation of the circumcircle of the DeltaABC, is
Answer» `X^(2)+y^(2)-6x+8y=0` `x^(2)+y^(2)-8x+1=0` `x^(2)+y^(2)=25` `x^(2)+y^(2)-6x=4` ANSWER :C

Discussion

6490.	If 10 identical coins are distributed among 4 children at random. The probability of distributing so that each child gets atleast one coin is
Answer» `(12)/(143)` `(42)/(143)` `(17)/(143)` `(101)/(143)` ANSWER :B

Discussion

6491.	cos(36^(@)-A)cos(36^(@)+A)+cos(54^(@)+A)cos(54^(@)-A)=
Answer» 0 `sin 2A` `COS 2A` `1` Answer :C

Discussion

6492.	Find the principal value of sec^-1(2/sqrt3)
Answer»

Discussion

6493.	Five balls b_(1),b_(2),b_(3),b_(4),b_(5) are kept at random in five foxes B_(1),B_(2),B_(3),B_(4),B_(5), one in each box. Let P(r ) be the probability of r balls going to corresponding numbered boxes. {:(,"Column-I",,"Column-II"),((A),P(0)=,,(P)(1)/(12)),((B),P(1)=,,(Q)(3)/(8)),((C),P(2)=,,(R)(1)/(3)),((D),P(3)=,,(S)(11)/(30)),(,,,(T)(1)/(6)):}
Answer» SOLUTION :`P(r )=(.^(n)C_(r)("all possible dearrangements of n-r ELEMENTS"))/(n!)` Dearrangement of n elements is `n!((1)/(2!)-(1)/(3!)+(1)/(4!)+.......+(-1)^(n)(1)/(n!))`

Discussion

6494.	Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^(5)-5x^(4)+5x^(3)-1. Also find the corresponding local maximum and local minimum values.
Answer» ANSWER :`-28`

Discussion

6495.	If f : R to R and g : R to R are defined by f(x)=x-{x} and g(x)=[x] for x in R, where [x] is greatest integer not exceeding x, then for every x in R, f(g(x)) is equal to
Answer» X 0 f(x) G(x) ANSWER :B

Discussion

6496.	Ifsiny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)
Answer» SOLUTION :`(DY)/(DX)=(sina)/(sin^2(a+y))THEREFORE(dy)/(dx)=1/(((dx)/(dy)))=(sin^2(a+y))/(sina)`

Discussion

6497.	Examin the following functions for continuity. f(x)= x-5
Answer» ANSWER :CONTINUOUS FUNCTIONS.

Discussion

6498.	Examin the following functions for continuity. f(x)= \|x-5\|.
Answer» ANSWER :CONTINUOUS FUNCTIONS.

Discussion

6499.	Let G denote the set of all n xx n non-singular matrices with rational numbers as entries. Then under multiplication
Answer» G is a subgroup G is a FINITE ABELIAN group G is an INFINITE, non-abelian group G is infinite, abelian Answer :C

Discussion

6500.	Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4). If R(x)=px^2+(q-1)x+6 has no distinct real roots and pgt0, then least value of 3p+q is-
Answer» -2 `2/3` `-1/3` `-4/3` ANSWER :C

Discussion

Explore topic-wise InterviewSolutions in .

Find the direction cosines of the vector 'hati+2 hatj+3 hatk'

If a function is continuous at x=a, then findlim_(hto0)+1/2{f(a+h)-f(a-h)}

If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = 2 = g(1), g(0) = 0 and f(1) = 6, then for some c in [0,1]:

Let X and Y be two sets Statement-I : X cap(Y cupX)'=phi Statement-II : If n(X cupY)=P and n(X capY)=phi then n(XDeltaY)=P-Q ["where "X DeltaY=(A-B) cup(B-A)]

Find out the total number of elements which produce hydrogen gas with "dil"//"conc."HNO_(3). Zn, Mg, Al, Cu, Zn, Sn, Mn,

If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma):}] is a orthogonalmatrix then ………

findthe areaenclosedby thecurvey= -x^2and thestraightlinex+y +2=0

The tangent at (1,7) to the curve x^(2) = y - 6x touches the circle x^(2) + y^(2) + 16x + 12 y + c = 0 at

If 5 is added to each and every item of a data, then the A.M. is

Solve the following D.E's (i) (dy)/(dx) = (6x+5y - 7)/(2x+18y - 14) (ii) (x-y-2)dx+(x-2y-3)dy = 0 (iii) (2x + 3y-8) dx = (x+y-3) dy

Ifl_(1) = lim_(x to 2^(+)) (x + [x]) , l_(2) = lim_(x to 2^(-)) (2x - [x]) andl_(3) = lim_( x to pi//2)(cos x)/( x - pi//2) is

If (1,2, p), (2, 8, -6) and (alpha^(2)-2alpha,p,1) are ordered triplet pair of the form (x, y, z) which satisfy all the equations (x)/(a)+(y)/(b)+(z)/(c )=1, (x)/(b)+(y)/(c )+(z)/(a)=1 and (x)/(c )+(y)/(a)+(z)/(b)=1, then the sum of all the values of alpha is equal to (where, ab+bc+ca ne0)

If the two lines of regression are 3x - 2y+1 = 0 and 2x -y-2=0 , then bar x+baryis equal to:

The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^2=4 is a

If f(x)=sum_(r=0)^(20) .^(20)C_(r) (In (1+x))^(r),g(x)=sum_(r=0)^(20)(-1)^(r).^(20)C_(r)(1+3sinx)^(20-r) then,

int_(0)^(1)(dx)/(e^(x)+e^(-x))=

If z_(1),z_(2),"……"z_(n) are complex numbers such that |z_(1)|=|z_(2)|="…."=|z_n|=1, then |z_(1)+z_(2)+"….."+z_(n)| is equal to

A rectangular hyperbola of latus rectum 2 units pass­es through (0,0) and has S(l, 0) as one of its foci. The other focus lies on a circle of diameter

If triangleABC is right angle at A, then r_2+r_3 is equal to

A die is thrown 3 times. Find the probability of the event of getting the sum of the numbers thrown as 15 when it is known that first throw was a five.

If A_(1)A_(2)A_(3)A_(4)A_(5) be regular pentgon inscribed in anunit circle. Then (A_(1)A_(2))(A_(1)A_(3)) is equal to

There are two children in a family. It is known that at least one child is a boy, then find the probability that both are boys.

If cosB = (sinA)/(2sinC) prove that the triangle is isosceles.

Statement-1 : If cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-(3)/(2), then : sinalpha+sinbeta+singamma =cosalpha+cosbeta+cosgamma=0 Statement-2 : a^(2)+b^(2)=0impliesa=b=c.

Two dice are rolled and the probability distribution of the sum of the numbers on the dice is formed. Find the mean of the sum.

The minimum area of triangle formed by the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 with the coordinate axes is

Find the slope of the lines whose inclinations are given.135^@.

Two cards are drawn with replacement from a well shufflied deck of 52 cards . Find the mean and variance for thenumber of aces .

If y = 2 cos (2 log x) + 3 sin (2log x), then x ^(2) y^(n) + xy' + 2y=

1 +(2)/(4)+(2.5)/(4.8)+ (2.5.8)/(4.8.12) + (2.5.8.11)/(4.8.12.16)+ …isequal to

Which one of the following statement is neither a tautology nor a fallacy?

int(dx)/(1+cosa cosx)=

If there is an error 4% in the area of circle, then the error in radius is ………..

If A and B are independent events, then A' and B' are also independent.

If angle C of the triangle ABC is right angle and the coordinates of A and B are (-3,4) and (3,-4) respectively, then the equation of the circumcircle of the DeltaABC, is

If 10 identical coins are distributed among 4 children at random. The probability of distributing so that each child gets atleast one coin is

cos(36^(@)-A)cos(36^(@)+A)+cos(54^(@)+A)cos(54^(@)-A)=

Find the principal value of sec^-1(2/sqrt3)

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^(5)-5x^(4)+5x^(3)-1. Also find the corresponding local maximum and local minimum values.

If f : R to R and g : R to R are defined by f(x)=x-{x} and g(x)=[x] for x in R, where [x] is greatest integer not exceeding x, then for every x in R, f(g(x)) is equal to

Ifsiny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

Examin the following functions for continuity. f(x)= x-5

Examin the following functions for continuity. f(x)= |x-5|.

Let G denote the set of all n xx n non-singular matrices with rational numbers as entries. Then under multiplication

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4). If R(x)=px^2+(q-1)x+6 has no distinct real roots and pgt0, then least value of 3p+q is-

A rectangular hyperbola of latus rectum 2 units passes through (0,0) and has S(l, 0) as one of its foci. The other focus lies on a circle of diameter