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Maths-

General

Easy

Question

The foot of the perpendicular from the pole on the line $r left parenthesis c o s space theta plus square root of 3 s i n space theta right parenthesis equals 2$ is

$(1, \frac{π}{3})$
$(6, \frac{7 π}{4})$
$(- 3, \frac{π}{2})$
$(3, \frac{3 π}{4})$

The correct answer is: $open parentheses 1 comma fraction numerator pi over denominator 3 end fraction close parentheses$

Related Questions to study

The equation of the line parallel to $r left square bracket 3 C o s space theta plus 2 S i n space theta right square bracket equals 5$ and passing through $open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses$ is

The equation of the line parallel to $r left square bracket 3 C o s space theta plus 2 S i n space theta right square bracket equals 5$ and passing through $open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses$ is

The line passing through the points $open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses$ , (3,0) is

The line passing through the points $open parentheses 2 comma fraction numerator pi over denominator 2 end fraction close parentheses$ , (3,0) is

Statement-I : If $fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction$ then A= $7 over 4$
Statement-II : If $fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction$ then $p equals 2 comma q equals 3$
Which of the above statements is true

Statement-I : If $fraction numerator 3 x plus 4 over denominator left parenthesis x plus 1 right parenthesis squared left parenthesis x minus 1 right parenthesis end fraction equals fraction numerator A over denominator x minus 1 end fraction plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction$ then A= $7 over 4$
Statement-II : If $fraction numerator p x plus q over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction equals fraction numerator 1 over denominator 2 x minus 3 end fraction plus fraction numerator 3 over denominator left parenthesis 2 x minus 3 right parenthesis squared end fraction$ then $p equals 2 comma q equals 3$
Which of the above statements is true

parallel

If b > a , then the equation, (x - a) (x - b) - 1 = 0, has:

If b > a , then the equation, (x - a) (x - b) - 1 = 0, has:

If $alpha comma beta$ be that roots $4 x squared minus 16 x plus lambda equals 0$ where $lambda element of R$ , such that $1 less than alpha less than 2$ and $2 less than beta less than 3$ then the number of integral solutions of λ is

If $alpha comma beta$ be that roots $4 x squared minus 16 x plus lambda equals 0$ where $lambda element of R$ , such that $1 less than alpha less than 2$ and $2 less than beta less than 3$ then the number of integral solutions of λ is

If α,β then the equation $x squared minus 3 x plus 1 equals 0$ with roots $fraction numerator 1 over denominator alpha minus 2 end fraction comma fraction numerator 1 over denominator beta minus 2 end fraction$ will be

If α,β then the equation $x squared minus 3 x plus 1 equals 0$ with roots $fraction numerator 1 over denominator alpha minus 2 end fraction comma fraction numerator 1 over denominator beta minus 2 end fraction$ will be

parallel

The equation of the directrix of the conic $2 equals r left parenthesis 3 plus C o s invisible function application theta right parenthesis$ is

The equation of the directrix of the conic $2 equals r left parenthesis 3 plus C o s invisible function application theta right parenthesis$ is

The conic with length of latus rectum 6 and eccentricity is

The conic with length of latus rectum 6 and eccentricity is

For the circle $r equals 6 C o s space theta$ centre and radius are

For the circle $r equals 6 C o s space theta$ centre and radius are

parallel

The polar equation of the circle of radius 5 and touching the initial line at the pole is

The polar equation of the circle of radius 5 and touching the initial line at the pole is

The circle with centre at and radius 2 is

The circle with centre at and radius 2 is

Statement-I : If $fraction numerator x squared plus 3 x plus 1 over denominator x squared plus 2 x plus 1 end fraction equals A plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction text then end text bold italic A plus bold italic B plus bold italic C equals bold 0$
Statement-II :If $fraction numerator x squared plus 2 x plus 3 over denominator x cubed end fraction equals A over x plus B over x squared plus C over x cubed text then end text A plus B minus C equals 0$
Which of the above statements is true

Statement-I : If $fraction numerator x squared plus 3 x plus 1 over denominator x squared plus 2 x plus 1 end fraction equals A plus fraction numerator B over denominator x plus 1 end fraction plus fraction numerator C over denominator left parenthesis x plus 1 right parenthesis squared end fraction text then end text bold italic A plus bold italic B plus bold italic C equals bold 0$
Statement-II :If $fraction numerator x squared plus 2 x plus 3 over denominator x cubed end fraction equals A over x plus B over x squared plus C over x cubed text then end text A plus B minus C equals 0$
Which of the above statements is true

parallel

If x, y are rational number such that $x plus y plus left parenthesis x minus 2 y right parenthesis square root of 2 equals 2 x minus y plus left parenthesis x minus y minus 1 right parenthesis square root of 6$ Then

If x, y are rational number such that $x plus y plus left parenthesis x minus 2 y right parenthesis square root of 2 equals 2 x minus y plus left parenthesis x minus y minus 1 right parenthesis square root of 6$ Then

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is -

A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is -

There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is -

There are three piles of identical yellow, black and green balls and each pile contains at least 20 balls. The number of ways of selecting 20 balls if the number of black balls to be selected is twice the number of yellow balls, is -

parallel

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