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How to draw the graph of y≥x2-1? If x=1 then y≥0.So,where to find this point as y can be anywhere? ...
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A slab of glass of refractive index is surrounded by vacuum and is placed as shown. A light ray is incident at the point (2, 5 ) as shown. The point where the ray will cut the x axis is: ...
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Two sound sources s1 and s2 of same frequency, are situated at a distance 2 m and 4 m from a point P respectively. At P the intensity of sound is 1 W/m2 if only source s1 is put on, and the intensity is 4 W/m2 if only source ...
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In a tyre of "Ferrari" car of Mr. Obama, a tube having a volume of 12.3 litres is filled with air at a pressure of 4 atm at 300 K. Due to travelling, the temperature of the tube and air inside it raised to 360 K and pressure ...
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2.6 g of an element X is reacted with an aqueous solution containing NaOH and NaNO3 to yield Na2XO2 and NH3. NH3 thus liberated is absorbed in 100 mL of 0.11 M H2SO4. The excess acid required 48 mL of 0.25M NaOH for complete ...
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There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2 and one face marked with 3. Die B has one face marked with 1, two faces marked with 2 and three faces marked with 3 ...
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Let f(x) be an increasing function defined on (0, ∞). If f(2a2 + a + 1) > f(3a2 – 4a + 1), then the number of integral values of a is/are (A)5 (B)4 (C)3 (D)6 ...
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Number of zeroes in the end in the product of 56 × 67 × 78 × ........× 3031 is (A)111 (B)147 (C)137 (D)136 ...
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Let e be the eccentricity of hyperbola. Let f(e) be the eccentricity of its conjugate hyperbola, then is equal to (A)3 (B)1 (C)3/2 (D)2 ...
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Consider a particle moving in a circle performing non-uniform motion.Consider one revolution of the particle.In that revolution the net displacement is zero(you should use Fnet.d).So,net work done by the net force is zero.But ...
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How many of triangles whose vertices are chosen from the vertices of a cube are equilateral? ...
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Consider f(x)=(x2-2mx-4(m2+1))(x2-4x-2m(m2+1))=0,m is not equal to 2. If f(x) =0has three different real roots,then m=???? ...
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Σnk=1 k/k4+ 1/4 =? ...
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Circle x2+y2=1 subtends angle θ on a varible point P such that π/3 <θ< π/2 then the area of region generated by locus of point P is: ...
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A small ball is thrown from a height of 15 m above the ground and at a horizontal distance d from a vertical wall.The ball first hits the wall and then strikes the ground and then it flies back to its initial position of thro ...
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Find last non-zero digit in 21!. ...
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If n4+4n.then number of values of n,nEN is ...
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Locus of the centre of the circle touching a given circle and a given straight line is a parabola y2=8x.Then (A)Centre of the given circle is (2,0) (B)If radius of the given cirlce is 2 units then given line must be the direc ...
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Normal drawn at P(t) having negative ordinate,to parabola y2=10x meets the curve again at Q(t2).If t2 is least then length PQ is ...
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Set of all positive values of a for which distance of vertex of y=2x2+ax+1 from x-axis is less than distance of vertex of y=-4x2+x+a from x-axis,is ...
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Let A be 2x2 matrix such that !A!=2 and B be 3x3 matrix such thatr !B!=3 and C be 4x4 matrix such that !C!=4.Then the value of *Image* ...
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*Image* ...
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A thin unifor rod is suspended in vertical plane as a physical pendulum about point A.The time period of oscillation is T0.Not counting the point A,the number N of other points of suspension on rod such that the time period o ...
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In shooting competition a man can score 0,2,3,4 or 5 points.Find the number of ways he can score 30 points in 7 shots. ...
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The value of C1+2C2cos@+3C3cos2@+4C4cos3@+.................................+nCncos[(n-1)@] ...
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If the value of a third order determinant is 11,then the value of the square of the determinant formed by its cofactors is ?. ...
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Let z be a complex number for which !2zcos@+z2!>1,if !z!<k,then the least positive integral value of k is ? ...
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Number of quadrilaterals which can be constructed by joining the vertices of a convex polygon of 20 sides if none of the side of the polygon is alsoi the side of the quadrilateral is: ...
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If f(x) has expansion f(x)=51C3(2-x)48+50C3(2-x)47+..................+47C3(2-x)43 then (A)Sum of coefficients in expansion of f(x) is 52C4 (B)Coefficient of x48 is 51C3 (C)Coefficient of x47 is -50C3 (D)Coefficient of x47 is ...
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Let a,bER and 0<a<1 and 0<b<1 if z1=-a+i,z2=-1+bi and z30 and z1,z2,z3 form an equilateral triangle then (A) (a+ 3 )(b+ 3 )=4 (B)a2-2a-2b=0 (C)(a-2)(b-2)=3 (D)a4-4(a+b)2=0. ...
