43030 + Interview Questions in Mathematics

1.	Write the value of 2(sinθ+cos6θ)−3(sin4θ+cos4θ)+1.
Answer» Write the value of $2 (s i n^{θ} + c o s^{6} θ) - 3 (s i n^{4} θ + c o s^{4} θ) + 1.$

Discussion

2.	If ∣∣∣\|x\|+2\|x2\|+2\|x\|∣∣∣>12, then x∈
Answer» If $∣ ∣ ∣ \frac{\| x \| + 2}{\| x^{2} \| + 2 \| x \|} ∣ ∣ ∣ > \frac{1}{2}$ , then $x \in$

Discussion

3.	Three prime numbers x,y,z has a product 385, then sum of their squares is
Answer» Three prime numbers $x, y, z$ has a product $385$ , then sum of their squares is

Discussion

4.	The equation of the normals to the circle x2+y2−8x−2y+12=0 at the points whose ordinate is −1 is/are
Answer» The equation of the normals to the circle $x^{2} + y^{2} - 8 x - 2 y + 12 = 0$ at the points whose ordinate is $- 1$ is/are

Discussion

5.	The general solution of the differential equation ydx−(x+y)dy=0 is
Answer» The general solution of the differential equation $y d x - (x + y) d y = 0$ is

Discussion

6.	Determine the product ⎡⎢⎣−444−7135−3−1⎤⎥⎦⎡⎢⎣1−111−2−2213⎤⎥⎦ and use it to solve the system of equations x−y+z=4,x−2y−2z=9,2x+y+3z=1.
Answer» Determine the product $⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ and use it to solve the system of equations $x - y + z = 4, x - 2 y - 2 z = 9, 2 x + y + 3 z = 1$ .

Discussion

7.	If the ratio of the sum to n terms of two A.P.'s is (5n+3):(3n+4). Then the ratio of their 17th terms is
Answer» If the ratio of the sum to n terms of two A.P.'s is $(5 n + 3) : (3 n + 4)$ . Then the ratio of their $17^{t h}$ terms is

Discussion

8.	The equation of the line passing through (1, 2) and making an angle of 30° in clockwise direction with the positive direction of y-axis is .
Answer» The equation of the line passing through (1, 2) and making an angle of 30° in clockwise direction with the positive direction of y-axis is .

Discussion

9.	The value of sin(sin−11x+sec−1x) , \|x\|≥1 is (a) 1 (b) −1(c) 0 (d) 12
Answer» The value of $sin ({sin}^{- 1} \frac{1}{x} + {sec}^{- 1} x), \| x \| \geq 1$ is $(a) 1 (b) - 1 (c) 0 (d) \frac{1}{2}$

Discussion

10.	Evaluate the derivative of 8xx8
Answer» Evaluate the derivative of $\frac{8^{x}}{x^{8}}$

Discussion

11.	नीचे दी गई जानकारी को पढ़िये और इसके आगे आने वाले प्रश्नों के उत्तर दीजिए। एक थैले में 4 लाल, 4 हरी और 4 नीली गेंदें हैं। बिना बदले दो गेदों को यादृच्छिक रूप से निकाला जाता है। Q. हरी गेंद नहीं निकाले जाने की प्रायिकता क्या है?
Answer» नीचे दी गई जानकारी को पढ़िये और इसके आगे आने वाले प्रश्नों के उत्तर दीजिए। एक थैले में 4 लाल, 4 हरी और 4 नीली गेंदें हैं। बिना बदले दो गेदों को यादृच्छिक रूप से निकाला जाता है। Q. हरी गेंद नहीं निकाले जाने की प्रायिकता क्या है?

Discussion

12.	List- IList-II(I)323∫01+x+√x2+x3x+√1+xdx(P) 1(II)Number of integer(s) in the range of the(Q) 2function f(x)=285+x2+x4 is(III) If limx→π2tan2x(√4sin2x+sinx+3(R) 3 −√3sin2x+4sinx+1)=1√32k,then k=(IV)→a,→b and →c are three vectors such(S) 4that there magnitudes are in the ratio1:2:3. The angle between each ofthem is π3 and \|→a+→b+→c\|=10,then magnitude of →a is(T) 5(U) 7 Which of the following is the only INCORRECT combination?
Answer» $\begin{matrix} List- I & List-II (I) & \frac{3}{2} 3 \int 0 \frac{1 + x + \sqrt{x^{2} + x^{3}}}{x + \sqrt{1 + x}} d x & (P) & 1 (II) & Number of integer(s) in the range of the & (Q) & 2 function f (x) = \frac{28}{5 + x^{2} + x^{4}} is (III) & If lim x \to \frac{π}{2} {tan}^{2} x (\sqrt{4 {sin}^{2} x + sin x + 3} & (R) & 3 - \sqrt{3 {sin}^{2} x + 4 sin x + 1}) = \frac{1}{\sqrt{32 k}}, then k = (IV) & \to a, \to b and \to c are three vectors such & (S) & 4 that there magnitudes are in the ratio 1 : 2 : 3. The angle between each of them is \frac{π}{3} and \| \to a + \to b + \to c \| = 10, then magnitude of \to a is (T) & 5 (U) & 7 \end{matrix}$ Which of the following is the only INCORRECT combination?

Discussion

13.	If tanA+1/tanA=2 show that tan 2 A +1/tan 2 A=2
Answer» If tanA+1/tanA=2 show that tan²A +1/tan² A=2

Discussion

14.	Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m . He gets outer surface of the tank including the base, covered with square tiles of side 25 cm . Find how much he would spend for tiles if this cost of tiles is 480 rupees per dozen
Answer» Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m . He gets outer surface of the tank including the base, covered with square tiles of side 25 cm . Find how much he would spend for tiles if this cost of tiles is 480 rupees per dozen

Discussion

15.	Please explain me this L C M in brief 5/4, 2/3, 6/8, 8/5, 9/2 And set it ascending order And how the Lcm came
Answer» Please explain me this L C M in brief 5/4, 2/3, 6/8, 8/5, 9/2 And set it ascending order And how the Lcm came

15.

Please explain me this L C M in brief 5/4, 2/3, 6/8, 8/5, 9/2 And set it ascending order And how the Lcm came

Answer»

Please explain me this L C M in brief

5/4, 2/3, 6/8, 8/5, 9/2

And set it ascending order

And how the Lcm came

Discussion

16.	Write the set {x:x is a positive integer and x^2<40} Doubt: Can i write it as {0,1,2,3,4,5,6}
Answer» Write the set {x:x is a positive integer and x^2<40} Doubt: Can i write it as {0,1,2,3,4,5,6}

16.

Write the set {x:x is a positive integer and x^2<40} Doubt: Can i write it as {0,1,2,3,4,5,6}

Answer»

Write the set {x:x is a positive integer and x^2<40}

Doubt: Can i write it as {0,1,2,3,4,5,6}

Discussion

17.	How to change signs in subtract questions?
Answer» How to change signs in subtract questions?

Discussion

18.	If PQ is a double ordinate of the hyperbola x2a2−y2b2=1 such that OPQ is an equilateral triangle, O being the centre of the hyperbola, then (where e is the eccentricity of the hyperbola)
Answer» If $P Q$ is a double ordinate of the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ such that $O P Q$ is an equilateral triangle, $O$ being the centre of the hyperbola, then (where $e$ is the eccentricity of the hyperbola)

Discussion

19.	A class has 175 students. the followng data shows the number of students obtaining one or more subjects. mathematics 100; physics 70; chemistry 40; mathematics and physics 30; mathematics and chemistry 28; physics and chemistry 23; mathematics, physics and chemistry 18. how many students have offered mathematics alone? (1) 35 (2) 48 (3) 60 (4) 22
Answer» A class has 175 students. the followng data shows the number of students obtaining one or more subjects. mathematics 100; physics 70; chemistry 40; mathematics and physics 30; mathematics and chemistry 28; physics and chemistry 23; mathematics, physics and chemistry 18. how many students have offered mathematics alone? (1) 35 (2) 48 (3) 60 (4) 22

19.

A class has 175 students. the followng data shows the number of students obtaining one or more subjects. mathematics 100; physics 70; chemistry 40; mathematics and physics 30; mathematics and chemistry 28; physics and chemistry 23; mathematics, physics and chemistry 18. how many students have offered mathematics alone? (1) 35 (2) 48 (3) 60 (4) 22

Answer»

A class has 175 students. the followng data shows the number of students obtaining one or more subjects. mathematics 100; physics 70; chemistry 40; mathematics and physics 30; mathematics and chemistry 28; physics and chemistry 23; mathematics, physics and chemistry 18. how many students have offered mathematics alone?

(1) 35

(2) 48

(3) 60

(4) 22

Discussion

20.	Let n is selected from the set {1,2,3,...,10} and the number 2n+3n+5n is formed. Total number of ways of selecting n so that the formed number is divisible by 4 is equal to
Answer» Let $n$ is selected from the set ${1, 2, 3, . . ., 10}$ and the number $2^{n} + 3^{n} + 5^{n}$ is formed. Total number of ways of selecting $n$ so that the formed number is divisible by $4$ is equal to

Discussion

21.	The value of 9∑r=1sin2rπ18 is
Answer» The value of $9 \sum r = 1 {sin}^{2} \frac{r π}{18}$ is

Discussion

22.	A line with direction ratios (2, 1, 2) intersects the lines →r=−^j+λ(^i+^j+^k) and →r=−^i+μ(2^i+^j+^k) at A and B. If the shortest distance of origin from the line AB is d, then the value of 27d2 is___
Answer» A line with direction ratios (2, 1, 2) intersects the lines $\to r = -^j + λ (^i +^j +^k) a n d \to r = -^i + μ (2^i +^j +^k)$ at A and B. If the shortest distance of origin from the line AB is d, then the value of $27 d^{2}$ is___

Discussion

23.	Solve this using L Hospital rule: limx→asinx100−sina100sinx−sina
Answer» Solve this using L Hospital rule: ${lim}_{x \to a} \frac{s i n x^{100} - s i n a^{100}}{s i n x - s i n a}$

Discussion

24.	Prove that if a plane has the intercepts a, b, c and if it is at a distance of p units from the origin, then 1a2+1b2+1c2=1p2
Answer» Prove that if a plane has the intercepts a, b, c and if it is at a distance of p units from the origin, then $\frac{1}{a^{2}} + \frac{1}{b^{2}} + \frac{1}{c^{2}} = \frac{1}{p^{2}}$

Discussion

25.	Find the vertex focus Axis directrix and the lattis rectum of the following parabola y^2=8x+8y.
Answer» Find the vertex focus Axis directrix and the lattis rectum of the following parabola y^2=8x+8y.

Discussion

26.	If the normal at point (1,2) on the parabola y2=4x meets the parabola again a point (t2,2t), then the value of t is
Answer» If the normal at point $(1, 2)$ on the parabola $y^{2} = 4 x$ meets the parabola again a point $(t^{2}, 2 t),$ then the value of $t$ is

Discussion

27.	If A is a square matrix of order 3 and \|A\| = 5 then \|3A\| = ?
Answer» If A is a square matrix of order 3 and \|A\| = 5 then \|3A\| = ?

Discussion

28.	The exradii r1,r2 and r3 of a △ABC are H.P , then its sides a, b, c are in
Answer» The exradii $r_{1}, r_{2} a n d r_{3}$ of a $△$ ABC are H.P , then its sides a, b, c are in

Discussion

29.	The slope of the tangent at (π4,0) to the curve 1+16x2y=tan(x−2y) is
Answer» The slope of the tangent at $(\frac{π}{4}, 0)$ to the curve $1 + 16 x^{2} y = tan (x - 2 y)$ is

Discussion

30.	If A and B are two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A∪B ? Also find minimum number of elements in A∩B ?
Answer» If A and B are two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in $A \cup B$ ? Also find minimum number of elements in $A \cap B$ ?

Discussion

31.	If I=2ππ4∫−π4dx(1+esinx)(2−cos2x) then 27 I2 equals
Answer» If $I = \frac{2}{π} \frac{π}{4} \int - \frac{π}{4} \frac{d x}{(1 + e^{sin x}) (2 - cos 2 x)}$ then $27 I^{2}$ equals

Discussion

32.	The determinant ∣∣∣∣xy1x1y11x2y21∣∣∣∣=0 represents
Answer» The determinant $∣ ∣∣ ∣ \begin{matrix} x & y & 1 x_{1} & y_{1} & 1 x_{2} & y_{2} & 1 \end{matrix} ∣ ∣∣ ∣ = 0$ represents

Discussion

33.	If xcos(a+y)=cos y then prove that dydx=cos2(a+y)sin a. Hence, show that sin ad2ydx2+sin 2(a+y)dydx=0.
Answer» $If x cos (a + y) = cos y then prove that$ $\frac{d y}{d x} = \frac{{cos}^{2} (a + y)}{sin a}$ . $Hence, show that sin a \frac{d^{2} y}{d x^{2}} + sin 2 (a + y) \frac{d y}{d x} = 0$ .

Discussion

34.	Two finite sets have m and n number of elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then m and n are
Answer» Two finite sets have $m$ and $n$ number of elements. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. Then $m$ and $n$ are

Discussion

35.	Let f(x)=x6–2x5+x3+x2–x–1 and g(x)=x4–x3–x2–1 be two polynomials. Let a,b,c and d the roots of g(x)=0. Then the value of f(a)+f(b)+f(c)+f(d) is
Answer» $Let f (x) = x^{6} - 2 x^{5} + x^{3} + x^{2} - x - 1$ and $g (x) = x^{4} - x^{3} - x^{2} - 1$ be two polynomials. $Let a, b, c and d the roots of g (x) = 0$ . Then the value of $f (a) + f (b) + f (c) + f (d)$ is

Discussion

36.	May I know the answer of this sum 8x-3/8=4x-1/4
Answer» May I know the answer of this sum 8x-3/8=4x-1/4

Discussion

37.	The point which divides the line segment joining the points (6,3) and (−4,5) in the ratio 3:2 externally is
Answer» The point which divides the line segment joining the points $(6, 3)$ and $(- 4, 5)$ in the ratio $3 : 2$ externally is

Discussion

38.	If sin α−sin β=m and cos α cos β=n then cos(α−β)=
Answer» If $s i n α - s i n β = m$ and $c o s α c o s β = n$ then $c o s (α - β) =$

Discussion

39.	If three mutually perpendicular lines have direction cosines (l1,m1,n1),(l2,m2,n2) and (l3,m3,n3)line having direction cosines l1+l2+l3,m1+m2+m3 and n1+n2+n3 make an angle of..... with each other
Answer» If three mutually perpendicular lines have direction cosines $(l_{1}, m_{1}, n_{1}), (l_{2}, m_{2}, n_{2})$ and $(l_{3}, m_{3}, n_{3})$ line having direction cosines $l_{1} + l_{2} + l_{3}, m_{1} + m_{2} + m_{3}$ and $n_{1} + n_{2} + n_{3}$ make an angle of..... with each other

Discussion

40.	The distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of lines x + 2y = 5 and x – 3y = 7 is
Answer» The distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of lines x + 2y = 5 and x – 3y = 7 is

Discussion

41.	In a triangle a2+b2+c2=ca+ab√3, then triangle is
Answer» In a triangle $a^{2} + b^{2} + c^{2} = c a + a b \sqrt{3}$ , then triangle is

Discussion

42.	If (a3a−1,a2−3a−1),(b3b−1,b2−3b−1) and(c3c−1,c2−3c−1) are collinear and α(abc)+β(a+b+c)=γ(ab+bc+ca), where α, β, γ ϵ N, then find the least value of α+β+γ. ___
Answer» If $(\frac{a^{3}}{a - 1}, \frac{a^{2} - 3}{a - 1}), (\frac{b^{3}}{b - 1}, \frac{b^{2} - 3}{b - 1}) and (\frac{c^{3}}{c - 1}, \frac{c^{2} - 3}{c - 1})$ are collinear and $α (a b c) + β (a + b + c) = γ (a b + b c + c a)$ , where $α, β, γ ϵ N$ , then find the least value of $α + β + γ$ . ___

Discussion

43.	There is a list of seven integers in which one integer is unknown and the other six integers are given as 20,5,12,5,9,5. If the mean, median and mode of these seven integers are in arithmetic progression. Then the sum of all positive value of unknown integers is
Answer» There is a list of seven integers in which one integer is unknown and the other six integers are given as $20, 5, 12, 5, 9, 5.$ If the mean, median and mode of these seven integers are in arithmetic progression. Then the sum of all positive value of unknown integers is

Discussion

44.	Show that the perpendicular bisectors of the sides of a triangle are concurrent.
Answer» Show that the perpendicular bisectors of the sides of a triangle are concurrent.

Discussion

45.	The set of values of ‘a’ for which ‘1’ lies between the roots of equation x2−ax−a+3=0 is
Answer» The set of values of ‘a’ for which ‘1’ lies between the roots of equation $x^{2} - a x - a + 3 = 0$ is

Discussion

46.	∫dxx12(1+x2)5/4 is equal to
Answer» $\int \frac{d x}{x^{\frac{1}{2}} (1 + x^{2})^{5 / 4}}$ is equal to

Discussion

47.	Let Z1, Z2, Z3 be three points A, B and P respectively in the argand plane. Let P moves in the plane such that \|Z−Z1\|+\|Z−Z2\|=K. Let Z1=–Z2=i Maximum area of the triangle ABP is (if K = 4)
Answer» Let $Z_{1}, Z_{2}, Z_{3}$ be three points $A, B$ and $P$ respectively in the argand plane. Let $P$ moves in the plane such that $\| Z - Z_{1} \| + \| Z - Z_{2} \| = K .$ Let $Z_{1} = - Z_{2} = i$ Maximum area of the triangle ABP is (if K = 4)

Discussion

48.	If the system of linear equations x+y+z=5x+2y+2z=6x+3y+λz=μ , (λ,μ∈R), has infinitey many solutions, then the value of λ+μ is :
Answer» If the system of linear equations $x + y + z = 5 x + 2 y + 2 z = 6 x + 3 y + λ z = μ,$ $(λ, μ \in R),$ has infinitey many solutions, then the value of $λ + μ$ is :

Discussion

49.	Distance between the lines 5x+3y−7=0 and 15x+9y+14=0 is
Answer» Distance between the lines $5 x + 3 y - 7 = 0$ and $15 x + 9 y + 14 = 0$ is

Discussion

50.	The Equation of chord of contact of x225+y216=1is4x+5y−20=0 Find the point from which the tangents are drawn
Answer» The Equation of chord of contact of $\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1 i s 4 x + 5 y - 20 = 0$ Find the point from which the tangents are drawn

Discussion

Explore topic-wise InterviewSolutions in Current Affairs.

Write the value of 2(sinθ+cos6θ)−3(sin4θ+cos4θ)+1.

If ∣∣∣|x|+2|x2|+2|x|∣∣∣&gt;12, then x∈

Three prime numbers x,y,z has a product 385, then sum of their squares is

The equation of the normals to the circle x2+y2−8x−2y+12=0 at the points whose ordinate is −1 is/are

The general solution of the differential equation ydx−(x+y)dy=0 is

Determine the product ⎡⎢⎣−444−7135−3−1⎤⎥⎦⎡⎢⎣1−111−2−2213⎤⎥⎦ and use it to solve the system of equations x−y+z=4,x−2y−2z=9,2x+y+3z=1.

If the ratio of the sum to n terms of two A.P.'s is (5n+3):(3n+4). Then the ratio of their 17th terms is

The equation of the line passing through (1, 2) and making an angle of 30° in clockwise direction with the positive direction of y-axis is .

The value of sin(sin−11x+sec−1x) , |x|≥1 is (a) 1 (b) −1(c) 0 (d) 12

Evaluate the derivative of 8xx8

If tanA+1/tanA=2 show that tan​​​​ 2 A +1/tan​​​​ 2 A=2

Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m . He gets outer surface of the tank including the base, covered with square tiles of side 25 cm . Find how much he would spend for tiles if this cost of tiles is 480 rupees per dozen ​​

​​​​​​Please explain me this L C M in brief ​​​​​5/4, 2/3, 6/8, 8/5, 9/2 And set it ascending order And how the Lcm came

Write the set {x:x is a positive integer and x^2&lt;40} Doubt: Can i write it as {0,1,2,3,4,5,6}

How to change signs in subtract questions?

If PQ is a double ordinate of the hyperbola x2a2−y2b2=1 such that OPQ is an equilateral triangle, O being the centre of the hyperbola, then (where e is the eccentricity of the hyperbola)

Let n is selected from the set {1,2,3,...,10} and the number 2n+3n+5n is formed. Total number of ways of selecting n so that the formed number is divisible by 4 is equal to

The value of 9∑r=1sin2rπ18 is

A line with direction ratios (2, 1, 2) intersects the lines →r=−^j+λ(^i+^j+^k) and →r=−^i+μ(2^i+^j+^k) at A and B. If the shortest distance of origin from the line AB is d, then the value of 27d2 is___

Solve this using L Hospital rule: limx→asinx100−sina100sinx−sina

Prove that if a plane has the intercepts a, b, c and if it is at a distance of p units from the origin, then 1a2+1b2+1c2=1p2

Find the vertex focus Axis directrix and the lattis rectum of the following parabola y​​​​​​​​​​​​​^2=8x+8y.

If the normal at point (1,2) on the parabola y2=4x meets the parabola again a point (t2,2t), then the value of t is

If A is a square matrix of order 3 and |A| = 5 then |3A| = ?

The exradii r1,r2 and r3 of a △ABC are H.P , then its sides a, b, c are in

The slope of the tangent at (π4,0) to the curve 1+16x2y=tan(x−2y) is

If A and B are two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in A∪B ? Also find minimum number of elements in A∩B ?

If I=2ππ4∫−π4dx(1+esinx)(2−cos2x) then 27 I2 equals

The determinant ∣∣∣∣xy1x1y11x2y21∣∣∣∣=0 represents

If xcos(a+y)=cos y then prove that dydx=cos2(a+y)sin a. Hence, show that sin ad2ydx2+sin 2(a+y)dydx=0.

Two finite sets have m and n number of elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then m and n are

Let f(x)=x6–2x5+x3+x2–x–1 and g(x)=x4–x3–x2–1 be two polynomials. Let a,b,c and d the roots of g(x)=0. Then the value of f(a)+f(b)+f(c)+f(d) is

May I know the answer of this sum 8x-3/8=4x-1/4

The point which divides the line segment joining the points (6,3) and (−4,5) in the ratio 3:2 externally is

If sin α−sin β=m and cos α cos β=n then cos(α−β)=

If three mutually perpendicular lines have direction cosines (l1,m1,n1),(l2,m2,n2) and (l3,m3,n3)line having direction cosines l1+l2+l3,m1+m2+m3 and n1+n2+n3 make an angle of..... with each other

The distance of the point (1, 2) from the straight line with slope 5 and passing through the point of intersection of lines x + 2y = 5 and x – 3y = 7 is

In a triangle a2+b2+c2=ca+ab√3, then triangle is

If (a3a−1,a2−3a−1),(b3b−1,b2−3b−1) and(c3c−1,c2−3c−1) are collinear and α(abc)+β(a+b+c)=γ(ab+bc+ca), where α, β, γ ϵ N, then find the least value of α+β+γ. ___

There is a list of seven integers in which one integer is unknown and the other six integers are given as 20,5,12,5,9,5. If the mean, median and mode of these seven integers are in arithmetic progression. Then the sum of all positive value of unknown integers is

Show that the perpendicular bisectors of the sides of a triangle are concurrent.

The set of values of ‘a’ for which ‘1’ lies between the roots of equation x2−ax−a+3=0 is

∫dxx12(1+x2)5/4 is equal to

Let Z1, Z2, Z3 be three points A, B and P respectively in the argand plane. Let P moves in the plane such that |Z−Z1|+|Z−Z2|=K. Let Z1=–Z2=i Maximum area of the triangle ABP is (if K = 4)

If the system of linear equations x+y+z=5x+2y+2z=6x+3y+λz=μ , (λ,μ∈R), has infinitey many solutions, then the value of λ+μ is :

Distance between the lines 5x+3y−7=0 and 15x+9y+14=0 is

The Equation of chord of contact of x225+y216=1is4x+5y−20=0 Find the point from which the tangents are drawn

If ∣∣∣|x|+2|x2|+2|x|∣∣∣>12, then x∈

If tanA+1/tanA=2 show that tan 2 A +1/tan 2 A=2

Aditya has built a cubical water tank with lid for his house with each outer edge equal to 1.5 m . He gets outer surface of the tank including the base, covered with square tiles of side 25 cm . Find how much he would spend for tiles if this cost of tiles is 480 rupees per dozen

Please explain me this L C M in brief 5/4, 2/3, 6/8, 8/5, 9/2 And set it ascending order And how the Lcm came

Write the set {x:x is a positive integer and x^2<40} Doubt: Can i write it as {0,1,2,3,4,5,6}

Find the vertex focus Axis directrix and the lattis rectum of the following parabola y^2=8x+8y.