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(A) Graph of vel vs displacement in SHM (B) Graph of KE with height (during ascent) of a projectile ...

Let PQ be a chord of the ellipse x2/a2 + y2/b2 = 1 , which subtends an angle of pi/2 radians at the centre . If L is the foot of perpendicular from (0,0) to PQ , then (A) Locus of L is an ellipse (B) locus of L is circle conc ...

The position of a particle with time t is given by x=t3-9t2+24t+1 find the distance travelled in 5 seconds. (Hint: sometimes i give easy questions ;) ) ...

Ques) In a certain test, there are n questions. In this test, 2 n- i students gave wrong answers to atleast i questions, where i = 1,2,3,4,......, n. If the total no. of wrong answers given is 2047, then find the value of n. ...

Ques 1) CaS exists in a cubic close packed arrangement of S2- ions in which Ca2+ ions occupy 1/2 of the available tetrahedral holes. How many Ca2+ and S2- ions are contained in the unit cell ? (a) 1,1 (b) 2,4 (c)4,4 (d)4,2 Qu ...

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Just came across a beautiful question..... If a1, a2, a3, a4 are in HP then 1/a1a4 \sum_{r=1}^{3}{} ar ar+1 is a root of : A) x2 + 2x + 15 = 0 B) x2 + 2x - 15 = 0 C) x2 - 2x + 15 = 0 D) x2 - 2x - 15 = 0 ...

Ques1) *Image* A vertical spring is fixed to one of its end and a maseless plank fitted to other end. A block of mass m is released from some height (h) from the top end of the spring which is in relaxed position. Then choose ...

If Ellipse E_n is drawn such that it touches Ellipse E_{n-1} at the extremities of the major axis, and has it's foci at the extremities of the minor axis of E_{n-1} then answer the following Qsns.... 1) Eccentricity e_n of El ...

Let P(x)= x6+ ax5+ bx4+ cx3+ dx2+ ex+ f be a polynomial such tht - P(1)=1, P(2)=2, P(3)=3, P(4)=4, P(5)=5 & P(6)=6. We need to find the value of P(7). [A Hint wud do perhaps.] [22] ...

\int_{0}^{[x]}{(\int_{0}^{[x]}{([x]-[x-\frac{1}{2}])dx)dx}} ...

PLz discuss this prob??? At pH=2, E°quinhydrone=1.3 , then Equinhydrone=???? a)1.36V b) 1.3 c)1.42 d)1.2 ...

Let X= {1,2,...,100} & Y be a subset of X such thatv the sum of no two elements in Y is divisible by 7.If the max possible no of elements in Y is 40 + λ then λ is ---------?? ...

If the eqn 2x2 +4xy + 7y2 - 12x - 2y + t = 0 where 't' is a parameter has exactly one real solution of the form (x,y) . Then the sum of (x+y) is equal to (A) 3 (B) 5 (C) - 5 (D) -3 ...

A body is in pure rolling on a fixed horizontal surface . Choose the incorrect statements (A)its point of contact slips with respect to the surface (B)its point of contact has 0 accn (C)its com always moves along a st line (D ...

not a doubt I\! f \;\; 2f(x) + f(-x) = \frac{1}{x}sin(\frac{x^2-1}{x}) , F\! i\! n\! d \; \; \int_{1/e}^{e}{f(x)dx} ...

How many distinct necklaces can be formed using n identical diamonds and k identical pearls? ...

Find the integral \int_{0}^{\pi/4}{\sin x \times \log(\sin x)dx} ...

(1) Find all Integer a for which The equation x^{3}-13x+a=0 has three Integer Roots. ...

For all complex numbers z1 and z2 satisfying mod(z1)=12 and mod(z2-3-4i)=5 , find the minimum value of mod(z1-z2) . ...

*Image* A Long bus has to be passed from the top to the wider road on the side horizontally. The width of the road at the top= a The width of the road at the side= b Find the longest bus that can be made so that it ca ...

. A particle, which is constrained to move along the x-axis, is subjected to a force in the same direction which varies with the distance x of the particle from the origin as F(x)= - kx + ax3 . Here k and a are positive const ...

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Ques 4) Find the product formed in this reaction:- C6H5 - O - CH3 + HI ---(heat)→ ??? Ques 5) *Image* ...

If a cube is made such that small spheres are at the corners and large sphere is at the body centre of the cube, then what is the packing fraction of this system? 1. 0.68 2. 0.74 3. 0.52 4. 0.002 ...

Q.1 : Answer the following questions based on the potential energy diagram shown here: *Image* a. Does the graph represent an endothermic or exothermic reaction? b. Label the position of the reactants, products, and activated ...

xlog_e(\frac{x^y}{e^x})\frac {dy}{dx}=ylog_e(\frac {y^x}{e^y}) ...

A drop of mass m and density ρ is put between two glass plates at a separation 'd'.What is the force of attraction between the plates (T=surface tension) ...

Let the roots of f(x)=x be α and β where f(x) is a quadratic polynomial. It is true that α,β also satisfies f(f(x))=x. Let the other roots of the eqn. f(f(x))=x be γ and δ. Now Correct statements are: ...