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Match the complexes in Column I with their properties listed i

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Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.

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Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the

4 \times 4

matrix given in the ORS.

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Practice questions from similar books

Question 1

Let

T

be the line passing through the points

P (- 2, 7)

and

Q (2, - 5)

. Let

F_{1}

be the set of all pairs of circles

(S_{1}, S_{2})

such that

T

is tangent to

S_{1}

P

and tangent to

S_{2}

Q

, and also such that

S_{1}

and

S_{2}

touch each other at a point, say,

M

. Let

E_{1}

be the set representing the locus of

M

as the pair

(S_{1}, S_{2})

varies in

F_{1}

. Let the set of all straight lines segments joining a pair of distinct points of

E_{1}

and passing through the point

R (1, 1)

F_{2}

. Let

E_{2}

be the set of the mid-points of the line segments in the set

F_{2}

. Then, which of the following statement(s) is (are) TRUE?The point

(- 2, 7)

lies in

E_{1}

(b) The point

(\frac{4}{5}, \frac{7}{5})

does NOT lie in

E_{2}

(\frac{1}{2}, 1)

lies in

E_{2}

(d) The point

(0, \frac{3}{2})

does NOT lie in

E_{1}

View solution

Question 2

Let

V_{r}

denote the sum of the first' ' terms of an arithmetic progression (A.P.) whose first term is'r and the common difference is

(2 r - 1)

. Let

T_{r} = V_{r + 1} - V_{r} - 2

and

Q_{r} = T_{r + 1} - T_{r}

for

r = 1, 2, \dots\dots .

The sum

V_{1} + V_{2} + \dots\dots + V_{n}

View solution

Question 3

A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the parabola

y^{2} = 16 x

0 \leq y \leq 6

at the point art

F (x_{0}, y_{0})

. The tangent to the parabola at

F (X_{0}, Y_{0})

intersects the y-axis at

G (0, y)

. The slope m of the line L is chosen such that the area of the triangle EFG has a local maximum P) m= Q) = Maximum area of

△ E F G

is (R)

y_{0} =

(S)

y_{1} =

View solution

Question 4

Let

f : R R

be a continuous odd function, which vanishes exactly at one point and

f (1) = \frac{1}{2} ˙

Suppose that

F (x) = \int_{- 1}^{x} f (t) d t f or a l l x \in [- 1, 2] a n d G (x) = \int_{- 1}^{x} t ∣ f (f (t)) ∣ d t f or a l l x \in [- 1, 2] \dot{I} \frac{f ( lim ) _{x 1} ( F ( x ) )}{G ( x )} = \frac{1}{14},

Then the value of

f (\frac{1}{2})

View solution

Question Text

Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the

4 \times 4

matrix given in the ORS.

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Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the 4×4 matrix given in the ORS.

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Practice questions from similar books

Match the complexes in Column I with their properties listed in Column II. Indicate your answer by darkening the appropriate bubbles of the $4 \times 4$ matrix given in the ORS.