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The locus of Z which lies in shaded region is best represented by

z : |z + 1| $>$ 2, |arg(z + 1)| $<$ $π$ /4
z : |z - 1| $>$ 2, |arg(z - 1)| $<$ $π$ /4
z : |z + 1| $<$ 2, |arg(z + 1)| $<$ $π$ /2
z : |z - 1| $<$ 2, |arg(z - 1)| $<$ $π$ /2

The correct answer is: z : |z + 1| $greater than$ 2, |arg(z + 1)| $less than$ $pi$ /4

The points (1, 0), $open parentheses square root of 2 minus 1 comma negative square root of 2 close parentheses text and end text open parentheses square root of 2 minus 1 comma square root of 2 close parentheses$ are equidistant from the point (- 1, 0). The shaded area belongs to the region outside the sector of circle |z + 1| = 2, lying between the line rays arg (z + 1) = $fraction numerator pi over denominator 4 end fraction$ and arg (z + 1) = $fraction numerator negative pi over denominator 4 end fraction$ .

Six faces of a unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is

Here we used the concept of probability to find the answer. Probability theory is an area of mathematics that examines random events. A random event's outcome cannot be predicted before it happens, although it could take any of several different forms. So the probability that the sum on the uppermost faces of the dice is an odd number is 5/18.

Six faces of a unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is

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The adjoining figure gives the road plan of lanes connecting two parallel roads AB and FJ. A man walking on the road AB takes a turn at random to reach the road FJ. It is known that he reaches the road FJ from O by taking a straight line. The chance that he moves on a straight line from the road AB to the road FJ is.

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Nine points lie in a plane forming a square as shown

If N is the number of triangles with positive area, having three of these points as vertices, then the last digit of N is

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The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is

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A rectangle with sides 2m -1, 2n - 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram.

The number of rectangles with odd side length is

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The number of ways that the letters of the word "PERSON" can be placed in the squares of the adjoining figure so that no row remains empty

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If ' P ' is in equilibrium then $T subscript 1 end subscript divided by T subscript 2 end subscript$ is

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In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is

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In the given figure, find the values of ‘x’ and ‘y’

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PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= 35° , then the value of PSR is

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Find the value of ‘x’ in the given figure

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In the given figure, find PR

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In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is

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If TP and TQ are the two tangents to a circle with centre ‘O’ such that then $text end text text PTO end text$ ,is

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In the following circle, ‘O’ is the centre .If $C A B equals 35 to the power of ring operator end exponent text then end text left floor A B C equals$

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Can’t find what you’re looking for?

The locus of Z which lies in shaded region is best represented by

z : |z + 1| 2, |arg(z + 1)| /4 z : |z - 1| 2, |arg(z - 1)| /4 z : |z + 1| 2, |arg(z + 1)| /2 z : |z - 1| 2, |arg(z - 1)| /2

The correct answer is: z : |z + 1| 2, |arg(z + 1)| /4

The points (1, 0), are equidistant from the point (- 1, 0). The shaded area belongs to the region outside the sector of circle |z + 1| = 2, lying between the line rays arg (z + 1) = and arg (z + 1) =.

Related Questions to study

Six faces of a unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is

Six faces of a unbiased die are numbered with 2, 3, 5, 7, 11 and 13. If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number is

Nine points lie in a plane forming a square as shownIf N is the number of triangles with positive area, having three of these points as vertices, then the last digit of N is

Nine points lie in a plane forming a square as shownIf N is the number of triangles with positive area, having three of these points as vertices, then the last digit of N is

The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is

The number of different triangles formed by joining the points A, B, C, D, E, F and G as shown in the figure given below is

A rectangle with sides 2m -1, 2n - 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram.The number of rectangles with odd side length is

A rectangle with sides 2m -1, 2n - 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram.The number of rectangles with odd side length is

The number of ways that the letters of the word "PERSON" can be placed in the squares of the adjoining figure so that no row remains empty

The number of ways that the letters of the word "PERSON" can be placed in the squares of the adjoining figure so that no row remains empty

If ' P ' is in equilibrium then is

If ' P ' is in equilibrium then is

In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is

In the given figure, if POQ is a diameter of the circle and PR = QR, then RPQ is

In the given figure, find the values of ‘x’ and ‘y’

In the given figure, find the values of ‘x’ and ‘y’

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= 35° , then the value of PSR is

PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If QPR= 35° , then the value of PSR is

Find the value of ‘x’ in the given figure

Find the value of ‘x’ in the given figure

In the given figure, find PR

In the given figure, find PR

In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is

In the given figure PA, PB, EC, FB, FD and ED are tangents to the circle. If PA=13cm,CE = 4.5cm and EF = 9cm then PF is

If TP and TQ are the two tangents to a circle with centre ‘O’ such that then,is

If TP and TQ are the two tangents to a circle with centre ‘O’ such that then,is

In the following circle, ‘O’ is the centre .If

In the following circle, ‘O’ is the centre .If

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z : |z + 1| $>$ 2, |arg(z + 1)| $<$ $π$ /4
z : |z - 1| $>$ 2, |arg(z - 1)| $<$ $π$ /4
z : |z + 1| $<$ 2, |arg(z + 1)| $<$ $π$ /2
z : |z - 1| $<$ 2, |arg(z - 1)| $<$ $π$ /2

The correct answer is: z : |z + 1| $greater than$ 2, |arg(z + 1)| $less than$ $pi$ /4

Nine points lie in a plane forming a square as shown

If N is the number of triangles with positive area, having three of these points as vertices, then the last digit of N is

Nine points lie in a plane forming a square as shown

If N is the number of triangles with positive area, having three of these points as vertices, then the last digit of N is

A rectangle with sides 2m -1, 2n - 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram.

The number of rectangles with odd side length is

A rectangle with sides 2m -1, 2n - 1 is divided into squares of unit length by drawing parallel lines as shown in the diagram.

The number of rectangles with odd side length is

If ' P ' is in equilibrium then $T subscript 1 end subscript divided by T subscript 2 end subscript$ is

If ' P ' is in equilibrium then $T subscript 1 end subscript divided by T subscript 2 end subscript$ is

If TP and TQ are the two tangents to a circle with centre ‘O’ such that then $text end text text PTO end text$ ,is

If TP and TQ are the two tangents to a circle with centre ‘O’ such that then $text end text text PTO end text$ ,is

In the following circle, ‘O’ is the centre .If $C A B equals 35 to the power of ring operator end exponent text then end text left floor A B C equals$

In the following circle, ‘O’ is the centre .If $C A B equals 35 to the power of ring operator end exponent text then end text left floor A B C equals$