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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.
| 12851. |
If 12sinx+5cosx=2y^(2)-8y+21, to get values of x and y is |
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Answer» `x = 2 n pi + cos ^(-1) ((5)/(13)), n in Z, y = 2` |
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| 12852. |
The tops of two poles of heights 10 metres and 12 metres are connected by a rope. If the rope makes an angle 30^(@) with the horizontal, the length of the rope in metres is |
| Answer» ANSWER :A | |
| 12853. |
Compute Lt_(x to 0)(3^x-1)/(sqrt(1+x)-1). |
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| 12854. |
If sec theta + costheta = 2, thenthe valueof sec^(2) theta + cosec^(2) theta is : |
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Answer» 1 |
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| 12855. |
If |z+4|le3 then the maximum value fo |z+1| is.... |
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Answer» 6 |
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| 12856. |
Equation of straight line which is 10 units from origin and normal ray from origin to the line makes an angle of 135^(@) with positive direction of x-axis in anti clock direction is |
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Answer» `x+y=10sqrt(2)` |
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| 12857. |
If y = cos^(-1)((a^(2)-x^(2))/(a^(2)+x^(2)))+sin^(-1)((2ax)/(a^(2)+x^(2))), then (dy)/(dx) to |
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Answer» `a/(x^2+a^2)` |
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| 12858. |
The probability that a student will pass the final examination in both English and Hind is 0.5 and the probability of passing neither is 0.1. If the probability of passing the English examination is 0.75 what is the probability of passing the Hindi examination ? |
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| 12859. |
If a,b,c are the p^(th),q^(th),r^(th) terms in H.P. then |{:(bc,p,1),(ca,q,1),(ab,r,1):}|= |
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Answer» Concurrent |
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| 12860. |
What is meant by triple point of substance? |
| Answer» Solution :The triple point of a substance is the temperature and pressure at which the three phases (gas, LIQUID and solid) of that substance COEXIST in THERMODYNAMIC EQUILIBRIUM. | |
| 12861. |
Which of the following function(s) is/are periodic? |
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Answer» `F f(x)=(2^(x))/(2^([x])` where [ ] denotes greatest INTEGER function |
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| 12863. |
If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)theta,4sin4theta],[sin^(2)theta,cos^(2)theta, 1+4sin4theta]|=0, then the value of theta is |
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Answer» `(7pi)/24, (11pi)/24` |
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| 12864. |
If A = { 3, 5, 7, 9, 11 }, B = {7, 9, 11, 13}, C = {11, 13, 15} and D = {15, 17}, find A ∩ C ∩ D |
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| 12865. |
If z= ((sqrt3)/(2) + (i)/(2))^(107) + ((sqrt3)/(2)-(i)/(2))^(107), then show that Im(z)=0 |
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| 12866. |
Evaluate : lim_(x to oo) ((x-3)/(x+3))^(x+3) |
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| 12867. |
Let T_ndenote the number of triangles which can be be formed using the vertices of a regular polygon of n sides. IfT_(n+1) - T _n = 21, " then "n = |
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Answer» 5 |
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| 12868. |
If0 lt= (2x -5) / (2) lt= 7 and x is integer then sum of its maxi and minimum value is ................. |
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| 12869. |
Radius of circle which touches X - axis at (3,0) and cuts a chord at length 8 unit on Y - axis is .......... |
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| 12870. |
L is the foot of the perpendicular drawn from a point (3, 4, 5) on X-axis. The coordinates of L are ____ . |
| Answer» Answer :A | |
| 12871. |
If the volume of a spherical ball is increasing at the rate of 4pi cc/sec, then the rate of increases of its radius (in cm/sec), when the volume is 288pi cc. |
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| 12872. |
If (x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta + 2pi//3)), thenx+y+z= |
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Answer» 1 |
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| 12873. |
Examine whether the following statements are true or false: { a }⊂{ a, b, c } |
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| 12876. |
Given that p(n,r)=(n!)/((n-r)!) What are the values of P(5, r) and P(6, r -1)? |
| Answer» SOLUTION :`(5!)/((5-5)!),(6!)/((7-r)!)` | |
| 12877. |
Show that the points A(3,2,-4),B(5,4,-6) andC(9,8,-10) are collinear and find the ratio in which B divides bar(AC). |
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| 12879. |
If f(x) is differentiable function wher it is continuous and f(c_(1))=f(c_(2))=0,f'(c_(1)).f(c_(2))lt0 if f(c_(1))=5andf(c_(2))=0(c_(1)ltc_(2))If is continuous in [c_(1)-1,c_(2)+1]andf'(c_(1))-f'(c_(2))gt0 then minimum numbers of roots of f(x) = 0 in [c_(1)-1,c_(2)+1] is |
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Answer» 1 |
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| 12880. |
If f(x) satisfies the functional equation x^(2).f(x)+f(1-x)=2x-x^(4), then f(1/3)= |
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Answer» `X^(2)` |
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| 12881. |
Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A. If angleGAC=(pi)/(3) and a=3b. Then sin C is eqal to |
| Answer» Answer :B | |
| 12882. |
Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A. If BC = 6, AC = 8, then the length of side AB is equal to |
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Answer» `(1)/(2)` |
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| 12883. |
If a,b,c, are in A.P then r_(1),r_(2),r_(3) are in |
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Answer» A. |
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| 12884. |
Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A. If AC=1, then the length of the median of triangle ABC through the vertex A is equal to |
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Answer» `(SQRT(3))/(2)` |
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| 12885. |
If A=x^(2)+(1)/(x^(2)),B=x-(1)/(x)then minimum value of (A)/(B) is (wherex in(-1,0)uu(1,oo)) |
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Answer» `SQRT(2)` |
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| 12886. |
Let D be the middle point of the side BC of a triangle ABC. If the triangle ADC is equilateral, thena^(2):b^(2):c^(2) is equal to s |
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Answer» `1:4:3` |
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| 12887. |
If f(x) is differentiable function wher it is continuous and f(c_(1))=f(c_(2))=0,f'(c_(1)).f(c_(2))lt0 if f(c_(1))=5andf(c_(2))=0(c_(1)ltc_(2))If is continuous in [c_(1)-1,c_(2)+1]andf'(c_(1))=f'(c_(2))gt0 then minimum numbers of roots of f(x) = 0 in [c_(1)-1,c_(2)+1] is |
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Answer» 1 |
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| 12888. |
There are 21 points on circle . The number of chord by joining there points are ............. . |
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| 12890. |
If alpha and beta are the roots of the equations x^(2)-2x-1=0, then what is the value of alpha^(2)beta^(-2)+beta^(2)alpha^(-2) |
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Answer» `-2` |
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| 12891. |
lim_(xtoa)(x^((1)/(3))-a^((1)/(3)))/(x^((1)/(5))-a^((1)/(5))),(agt0)=……….. |
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Answer» `(1)/(3)a^((3)/(5))` |
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| 12892. |
Letf(x)= f_1 (x) - 2 f_2( x), " where where " f_1(x)={:{( min {x^(2) , |x| },|x| le 1),( min {x^(2) , |x| } , |x| gt 1):} andf_2( x)= {:{( min {x^(2) ,|x| },|x|gt1),( min {x^(2) ,|x| } , |x| le 1 ) :} and " let "g(x) = {:{( min {f(t) : -3t le x, -3le x lt0}),( min {f(t) : 0le t le x, 0le x le 3 }):} For -3 le x le -1the range of g(x) is |
| Answer» ANSWER :A | |
| 12893. |
Letf(x)= f_1 (x) - 2 f_2( x), " where where " f_1(x)={:{( min {x^(2) , |x| },|x| le 1),( min {x^(2) , |x| } , |x| gt 1):} andf_2( x)= {:{( min {x^(2) ,|x| },|x|gt1),( min {x^(2) ,|x| } , |x| le 1 ) :} and " let "g(x) = {:{( min {f(t) : -3t le x, -3le x lt0}),( min {f(t) : 0le t le x, 0le x le 3 }):} The graph of y = g(x)in its doman is broken at |
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Answer» 1 point |
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| 12894. |
Letf(x)= f_1 (x) - 2 f_2( x), " where where " f_1(x)={:{( min {x^(2) , |x| },|x| le 1),( min {x^(2) , |x| } , |x| gt 1):} andf_2( x)= {:{( min {x^(2) ,|x| },|x|gt1),( min {x^(2) ,|x| } , |x| le 1 ) :} and " let "g(x) = {:{( min {f(t) : -3t le x, -3le x lt0}),( min {f(t) : 0le t le x, 0le x le 3 }):} Forx in (-1, 0 ) , f(x) +g(x)is |
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Answer» `X^(2)-2x+1` |
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| 12895. |
Fill in the blanks |
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Answer» Solution :The BLANKS are to be filled in the following ORDER {X:x = 3n and `in` N}, {B,E,T,R}, {x:x = `5^n` and n `in` N}, {0,1,2,3,4} |
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| 12896. |
A beam is supported at its ends by supports which are 12 metres apart. Since tha load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm ? |
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| 12897. |
Two dice are throw together. The probability that numbers on both the dice are same is ...... |
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Answer» `(1)/(36)` |
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| 12898. |
Which of the following sets are empty sets ? {x : x in R, x^(2)+2=0} |
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| 12899. |
Discuss the continutity of f(x) =sqrt(4-x^2). |
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| 12900. |
In two throw of a dice find the probability of getting: (i) a sum of 9 (ii) a sum of at least 9 (iii) a number 5 on at least on throw. |
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