
1)The triangle formed by the tangent to the curve f(x) = x2 + bx  b at the point (1,1) and the coordinate axes lie in the first quadrant. If it's area is 2 then the value of b is: a)1 b)3 c)3 d)1 ans c 2)If the normals fr ...

64 players play in a knockout tournament. Assuming all players are of equal strength, probabilty that P1 loses to P2 and P3 becomes eventual winner is? ...

Let 2x2+y23xy=0 be the equation of a pair of tangents from origin O to a circle of radius 3 with center in the first quadrant. If A is one of the points of contact, Find the length OA ...

d arithmetic mean of d roots of d equatio n 4Cos3x 4Cos2x Cos[315pie+x]=1 ...

let a,b,c,d represent coplanar vectors and sin(A)a + 2sin(2B)b + 3sin(3C)c  4d = 0 then find the least value of sin(A)^2 +sin(2B)^2 + sin(3C)^2 is.... 1. 7/8 2. 8/7 3. 1 4. 2/3 ...

The tangent at a point C of a circle and diameter AB when extended intersect at P. If ∠PCA = 110° , find ∠CBA. a) 70° b) 105° c) 110° d) 120° ...

prove that tan 3x/ tan x never lies in the range3 and 1/3 whenever define! ...

Domain of f(x)=log log x is a) (0,,infty ) b) (1,,infty ) c) (0,,1)cup ,(1,infty ) d) (infty ,,1) ...

Q 17. The locus of the vertices of the family of parabolas y=a3x2/3+ a2x 2a is (1) xy= 105/64 (2) xy= 3/4 (3) xy= 35/16 (4) xy=64/105 ...

Plz help me in these questions..............(FIITJEE Package) 1. Prob of A wining a game is 0.4 while that of B is 0.6 . What is the probability of A wining a best of 7 games? 2. If Ram and Shyam selects two numbers at ra ...

Let d be the perpendicular distance from the center of the ellipse x2/a2 + y2/b2 = 1 to the tangent drawn at a point P on the ellipse. If F' and F'' are the two foci of the ellipse , then show that (PF'  PF'')2= 4a2[ 1 (b2/ ...

If a,c,b are in G.P then the line ax+by+c=0 (A) has a fixed direction (B) always passes through a fixed point (C) forms a triangle whose area is constant (D) none of these ...

1) Find the no. of rational roots of P(x) = 2x98 + 3x97 + 2x96 + 3x95 +....+2x+3 =0 (Hence, find the roots too.) 2) Least degree of a polynomial with integral coeff. of which a= 31/2007 is a zero is a)223, b)669, c)2007, d) ...

find the range of y y=1/sinx +1/cosx ...

22. A straight line is drawn from the point(1,0) to the curve x2+y2+6x10y+1=0, such that the intercept made on it by the curve subtends a right angle at the origin. Find the equations of the line. 23. Determine the range of ...

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Let a,b,c be three distinct positive numbers which are in G.P. If logca , logbc , logab are in A.P., then the common difference of the A.P. is.... REPLY SOON..... ...

Find the sum of all x in [0, 2π] which satisfy the equation 3 cot2 x + 8 cot x + 3 = 0 ...

Proof that (tan5A+tan3A)/(tan5Atan3A)=4cos4Acos2A ...

How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where? ...

5/1.2.3 +7/3.4.5 +9/5.6.7 .......... is equal to: a) log 8/e b)log e/8 c) log mn d) none of these ...

There are 50 birds on a tree. A hunter shot at them with a rifle and three birds fell dead.Howmanybirds were left on the tree? ...

Pick the odd one out. 1.JOT 2.OUT 3.DOG 4.DIN 5.FED We eat so that we ...... live 1.MAY 2.CAN 3.MUST 4.MIGHT The area of the parallelogram formed by the tangents at the extremities of cojugate diameters of the standard hyperb ...

*Image* Find the missing number: (a) 72 (b) 70 (c) 68 (d) 66 ...

The value of cos1(cos12)  sin1(sin12) is ...

α ≤ sin1x + tan1x + cos1x ≤ β then a) α =0, β = π b) α =0, β = ~~frac{pi }{2} c) α = frac{pi }{2} , β =π d) None of these ...

Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...

number of permutations of taken all at a time such that the digit 1,2,3,4,5,6,7,8,9 appearing somewhere to the left of 2. 3 appearing to the left of 4. 5 appearing to the left of 6. eg 815723946 ...

Q) The point on the hyperbola x2/24  y2/18 = 1 which is nearest to the line 3x + 2y + 1 = 0 is (A) (6,3) (B) (6,3) (C) (6,3) (D) (6,3) Acc. to me.. we take any point (asecθ , btanθ) on the hyperbola and find its perpen ...

if f(x)=loge x and g(x)=x2 and 4<c<5 then c log (425/516) is equal to (a) c loge5  8 (b) 2(c2 loge4  8) (c) 2(c2 loge5  8) (d) c loge4  8 ...