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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 3651. |
22(i)(8a3-27x-3)3x (64a3-27x3) 3 |
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| 3652. |
8. Factorise each of the following:() 27-125a3 -135a + 225a2(iv) 64a3 -27b3 -144ab+ 108ab)2p-1 9 |
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Answer» thankyou so much |
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| 3653. |
352. 61 as a percent will become :(1) 18%(2) 48%(3) 52%(4) 66% |
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| 3654. |
I whatyouunderstand by02 + 12a +35 |
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Answer» it is also a quadratic equation (a+7)(a+5) is the correct answer of the given question |
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| 3655. |
जि की: कस वर कर अर लि कि o 2, किन(ii) cos 38° cos 52°-sin 38°5in 52° =0 |
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Answer» =cos(90-52)cos52-sin(90-52)sin52.because cos(90-52)=sin52. =sin52cos52-cos52sin52=cos52(sib52-sin52)=cos52*0=0therefore final answer will be zero. |
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| 3656. |
52/2+6+2-2=? |
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Answer» 52/2=26 + 6 + 2 - 2=32 32........................... 32 is right answer of this 52/2=26 +6 + 2 - 2=32 32 is the right answer. 52/2=26+6+2-2=32 is answer |
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| 3657. |
Give the geometric representations of 2x + 9(i) in one variable(i) in two variables0 as an equation |
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| 3658. |
2.Give the geometric representations of 2x +9(i) in one variable(ii) in two variables0 as an equation |
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| 3659. |
6.) Given the linear equation 2x + 3y-8 0, write another linear equasuch that the geometrical representation of the pair so formed istion in two variables(0) intersecting lines(iii) coincident lines(ii), parallel lines |
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| 3660. |
Find the number of solutions of :: \log _{10} x=x |
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Answer» Log 10 to the base x = xCan be written as:10^x = xSo it has infinite solutions for infinite number of x. |
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| 3661. |
Find number of solutions of the equation in x = x. |
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Answer» from graph as we can see thatthey are not intersecting so no solution a correct answer is =xπ2 |
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| 3662. |
(a) Multiply: (3x2 + 4x - 5) by (4x2 - 7x + 2)(b)Simplify the following algebraic expression:5(3-6m) - 5[m - 3{2 - 4(m - 5)}](C) The product of two numbers is (x - y). If one of the numbers is (x- y), then find the other.All the Best |
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| 3663. |
1. Give the geometric representations of y 3 as an equation0) in one variable(i) in two variables |
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| 3664. |
Explain linear equations in two variables. |
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Answer» When an equation is having two variables with every variable in first degree such that variables are not multiplied with each other then it is called as a linear equation in two variables. In generalized form it can be written asax+by = cwhere a, b, c are constants and x, y are variables. For eg: 5x+3y = 7 values of x and y can’t be evaluated with the help of this single equation. That’s why we always call for the linear system with two variables because there must be two equations in same variables to get a solution otherwise the value of the one variable will be in terms of another variable. So, to solve linear equations with two variables a number of methods are available |
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| 3665. |
Simplify the following expressions.(a) 12a 8 17s 6+13a-7(c) 129y -8x 12y +10x-4(e) 15p-22p+4p+3p + 210(b) 28x + 17-3-2x+ 4x(d) 12a -22a + 5a+1- a |
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Answer» a) 12a+13a-17s+8-13 = 25a-17s-5 |
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| 3666. |
1-64a3-12a+48a3 |
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| 3667. |
Point P( x.y ) lies on the line segment AB where coordinates of A and B are (-2.-2) and,-4) respectively. Find x and7 |
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| 3668. |
2.The point (0,-4)lies on.axis |
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Answer» y axis is the answer. It is y=0, it lies on y axis.The Answer is: y axis. Hope this helped you.. |
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| 3669. |
Q10- Each symbol given below represents an algebraic expression:The symbols are then represented in the expression |
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| 3670. |
Algebraic expression8x29y+ 3a2 b3Type of expressionTerms of the expressiona.Trinomial8x2,-9y2,3b.C.abc -pq +xyPolynomiale.0.2x 1.6y +5.1a0.2x,-1.6y, 5.laf.18,-2a, 3r2yg. |
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| 3671. |
Algebraic expression x2+34 is not a polynomial. |
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Answer» Polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative integral value or we can say natural number. Here, we have 3√x 3√x = 3*x^1/2 The power of the variable x here is not an integer so 3√x is not a polynomial Hence, expression x^2 + 3√x - 4 is not a polynomial. |
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| 3672. |
Denote the set of tilesusing an algebraicexpression.9. |
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Answer» let the orange tiles be Xbig grey y and small grey zhence2x+3y+4z |
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| 3673. |
In an algebraic expression, terms are formed by theof variables and constan |
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| 3674. |
"Write the pair of linear equations which have solutions x = 2, y = -2. |
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| 3675. |
Factorize the following algebraic expression.(a) 4y2 + 12y + 5(b)4y2 - 12y+ 5 |
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| 3676. |
horizontal. What is the anguial SpverticalA uniform rod of mass m and length L lies radially on a disc rotating with angularshorizontal plane about its axis. The rod does not slip on the disc and the centre of the rod is at adistance R from the centre of the disc. Find out the kinetic energy of the rod.halawar Road, Kota (Raj.) 324005 |
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| 3677. |
If LN-12x + 16, what is the length of LNÇPoint M lies between points L and N on LNO 16 unitsÎ 40 unitsO 48 units10x + 85x -464 unitsMark this and retumSave and |
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Answer» We observe that LN = LM + MN 12x + 16 = 10x + 8 + 5x - 4 12x + 16 = 15x + 4 3x = 12 x = 4 So, LN = 4 × 12 + 16 = 48 + 16 = 64 |
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| 3678. |
In equilateral AABC, point E lies on CA such that BE L CA.BEFind AB+ BC+CA2 in terms of |
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| 3679. |
e length and breadth of a playground are 80 m and 35 m respectively.( Find the cost of levelling it at R 4.50 per square metre.(ii) How long will a boy take to go thrce times round the field, if he walks at rate of 1.5 m per second'm respeetively |
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| 3680. |
The length and breadth of a playground are 80 m and 35 m respectivelyind the cost of levelling it at ? 4.50 per square metreHow long will a ta. 2 12,boon by taketo go three times round the field, fhe walks at rate of 1.5 m per second?ke to go threetimes r |
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| 3681. |
\frac { \cot \theta - \cos \theta } { \cot \theta + \cos \theta } = \frac { \cos e c \theta - 1 } { \csc \theta + 1 } |
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| 3682. |
One number is 3 less than 5 times the othernumber. Write the equation in mathematicalform using two variables, |
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Answer» Let one number is x and other number be y Then,As per given conditionx = 5y - 3x - 5y + 3 = 0 Let ist nmbr be x2nd nmbr be yX=5y-3X-5y+3=0 |
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| 3683. |
19)One number is 3 less than 5 times the other (1number. Write the equation in mathematicalform using two variables. |
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Answer» Ist nmbr=x2nd nmbr=yX=5y-3X-5y+3=0 |
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| 3684. |
\frac{\sin \theta}{1-\cos \theta}=\cos e c+\cot \theta |
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| 3685. |
Write three different linear equations in two variables x and y. Find two differensolutions for each of them. |
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Answer» thank u |
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| 3686. |
(\cos e c \theta-\cot \theta)^{2}=\frac{1-\cos \theta}{1+\cos \theta} |
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Answer» 👏👏👏 |
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| 3687. |
14. From the following data available for 5pairs of observations of two variables xand y, obtain the combined S.D. for all 10observations.T=1Where, { x=30, Ev.40, Š x = 225y? = 340 |
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Answer» Why did the Reich man hang his head in shame |
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| 3688. |
\left. \begin{array} { l } { e c \theta + \operatorname { cos } \theta = m \text { and } } \\ { \theta - \operatorname { cot } \theta = n , \text { prove that } mn = 1 } \end{array} \right. |
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| 3689. |
\frac { 1 + \operatorname { sin } \theta } { \operatorname { cos } \theta } + \frac { \operatorname { cos } \theta } { 1 + \operatorname { sin } \theta } = 2 \operatorname { sec } \theta [ N C E R T ] |
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| 3690. |
If $\operatorname{Tan} \alpha-\operatorname{Tan} \beta=m$ and $\cot \alpha-\cot \beta=n$then prove that $\cot (\alpha-\beta)=\frac{1}{m}-\frac{1}{n}$ |
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Answer» thank you |
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| 3691. |
rove that the perpendicular at the point of contact to the tangent to a circle passeshrough the centre.mk |
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| 3692. |
aw the graph of each of the following linear equations in two variables:x+y=4 (ü)x – y=2 - (ii) y= 3x (iv) 3 = 2x +yve the equations of two lines passing through (2, 14). How many more such li |
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Answer» iiiiiiivall are linear equations in two variables because x, y are variables and degree =1 |
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| 3693. |
If the two variables x and y are related by 2x+ 3y =12 and standarddeviation of x is 8 then standard deviation of y is.(b) 10(d) of these. (1 mark)(a) 2(c) 4 |
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| 3694. |
cot θノtan θ1-cot θ 1-tan θHint: Write the expression in terms of sisec A 1 - cos Aos A -sin A +1os A + sin A -1I + sin A= cosec A + cot=sec. A +tan An A+ cosec A)+ (cos A+ sec A |
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Answer» thank u sir |
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| 3695. |
सर N) (1+tan 0 +sec0) (1 + cot © — cosec 9) बराबर है |
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Answer» (1+cot A -cosec A)(1+ tan A + sec A) Lhs =(1 +cos A/sin A - 1/sin A)(1 + sin A/cos A +1/cos A) =(sin A+cos A -1/sin A)(cos A +sin A+1/cos A) =(sin A+cos A-1)(sin A+cos A+1)/sin Acos A =[(sin A+cos A)^2-(1)^2]/sin Acos A =[sin^2A+cos^2A +2sin Acos A- 1]/sin Acos A =[1-1+2sin Acos A]/sin Acos A =2sin Acos A/sin Acos A =2 =Rhs |
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| 3696. |
CRAng N, ( 1 + sec 20째 + cot 70째) ( 1-cosec 20째 + tan 70째) =2 |
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Answer» Sec 20= 1/cos 20=1/sin 70cot 70= cos 70/sin 70cosec 20= 1/sin 20= 1/cos 70 (1+sec 20 + cot 70)=1+1/sin 70+ cos 70/sin 70°taking LCM(sin 70+1 + cos 70)/sin 70 একভাবে(1-cosec 20+ tan 70)= (cos 70-1+ sin 70)/sin 70multiple both উভয় বৃদ্ধি (sin70 cos70- sin 70+sin^2 70+ cos 70-1+sin70+cos^2 70- cos 70+ sin70 cos 70)/ sin70 cos70 (2sin 70 cos 70)/ sin70 cos 70ans=2 thank s |
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| 3697. |
आप 6 -८08 0+1 _ 1Example 15 : Prove tha\frac{\sin \theta-\cos \theta+1}{\sin \theta+\cos \theta-1}=\frac{1}{\operatorname{soc} \theta-\tan \theta} |
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| 3698. |
151Ų.27Prove that 15 is irrational and hence show thatis also irrational.(CBSE (Delhi) 2012)any15]Q.28125In a school there are two sections A and B of class X.There are 48 students in section A and 60 students insection B.Determine the least number of book required for thelibrary of the school so that the books can bedistributed equally among all students of each section.(CBSE (Outside Delhi) 2017]-15]jour |
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| 3699. |
1. A metallic sphere of radrus 4.2 cm is melted and recast into the shape of a cyinder ofradius 6 cm. Find the beight of the cylinder |
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| 3700. |
( 1+ t a n theta + s e c theta)(1+cot theta+sec theta) |
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