Question

Solution

Correct option is

xy = 4a2  b1, b2 are variables, such that C1 and C2 are tan

find locus of point of contact At the point of contact, since the curves are tangent to each other SIMILAR QUESTIONS

Q1

Let f (x) = ax5 + bx4 + cx3 + dx2 + ex, where abcde Ïµ R and f (x) = 0 has a positive root α, then

Q2

Between any two real roots of the equation ex sin x – 1 = 0, the equation excos x + 1 = 0 has

Q3

f (x) is a polynomial of degree 4 with real coefficients such that f (x) = 0 is satisfied by x = 1, 2, 3 only, then f’(1). f’(2). f’(3) is equal to:

Q4

If f (x) is a polynomial of degree 5 with real coefficients such that has 8 real roots then f (x) = 0 has:

Q5

If the function f (x) = | x2 + a | x | +b| has exactly three points of non-differentiability, then which of the following can be true?

Q6

If f (x) = loge x and g(x) = x2 and c Ïµ (4, 5), then is equal to:

Q7

If the equation has four solution then be lies in:

Q8

If the function f (x) = x3 – 9x2 + 24x + c has three real and distinct roots αβ and γ then the value of [α] + [β] + [γ] is,:

Q9

If at each point of the curve y = x3 – ax2 + x + 1 the tangents is inclined at an acute angle with the positive direction of the x-axis, a lies in the interval.

Q10

f : R âŸ¶ R be a differentiable function  x Ïµ R. If tangent drawn to the curve at any point x Ïµ (ab) always lie below the curve then