A triangle is formed by joining three points A(8,2), B(-4,-4) and C(16,1) on rectangular hyperbola xy=16. If orthocentre of the triangle ABC is (h, k) then product hk is equal to

Question

Aayush Asked Feb 23

46 views

1 Answer

RELATED DOUBTS

Aayush Asked Feb 22

21 views

If $A\left(\cos \theta_{1}, \sin \theta_{1}\right) B\left(\cos \theta_{2}, \sin \theta_{2}\right) \& C\left(\cos \theta_{3}, \sin \theta_{3}\right)$, then orthocenter of $\triangle A B C$ is

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

21 Views

LEELADHAR YADAV Asked Aug 17, 2023

138 views

Let A={1,2,3,4,5,6} and * be an operation A defined by $a{ }^* b=r$, where r is the least non-negative remainder when the product a b is divided by k. Operation * is binary operation if k=

LEELADHAR YADAV Asked Aug 17, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

138 Views

Aayush Asked Feb 23

24 views

In $\triangle A B C$, if $\left|\begin{array}{lll}1 & a & b \\ 1 & c & a \\ 1 & b & c\end{array}\right|=0$, then $\sin ^2 A+\sin ^2 B+\sin ^2 C$ is equal to

Aayush Asked Feb 23

by Aayush

1 Answer

0 Votes

24 Views

Ankit Asked Sep 15, 2023

121 views

If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is

Ankit Asked Sep 15, 2023

by Ankit

1 Answer

0 Votes

121 Views

Chandan Asked Sep 12, 2023

38 views

Is * defined on the set {1,2,3,4,5} by a*b = l.c.m. of a and b binary operation?

Chandan Asked Sep 12, 2023

by Chandan

1 Answer

0 Votes

38 Views

ANAND_YADAV Asked Jul 26, 2023

27 views

Two equal and opposite charges $4×10^{-8}C$ are placed $2×10^{-2}$ cm away, from a dipole. If this dipole is placed in an external electric field of $4×10^8NC^{-1}$

ANAND_YADAV Asked Jul 26, 2023

by ANAND_YADAV

1 Answer

0 Votes

27 Views

John Michael Asked Aug 12, 2023

107 views

If the median of x/5, x, x/4, x/2 and x/3, where x>0, is 8 then the value of x is equal to

John Michael Asked Aug 12, 2023

by John Michael

1 Answer

0 Votes

107 Views

Ankit Asked Sep 20, 2023

138 views

Suppose, S and S' are foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$. If P is variable point on the ellipse and if $\Delta$ is area of the triangle PSS', then the maximum value of $\triangle$ is

Ankit Asked Sep 20, 2023

by Ankit

1 Answer

0 Votes

138 Views

Aayush Asked Mar 6

19 views

If $\alpha, \beta$ are the roots of the equation $a x^2+b x+c=0$, then $\frac{\alpha}{a \beta+b}+\frac{\beta}{a \alpha+b}$ is equal to

Aayush Asked Mar 6

by Aayush

1 Answer

0 Votes

19 Views

Chandan Asked Sep 12, 2023

99 views

If the binary operation * on the set of integers Z, is defined by a*b = a + 3b^2, then find the value 2 * 4 .

Chandan Asked Sep 12, 2023

by Chandan

1 Answer

0 Votes

99 Views

Ankit Asked Aug 2, 2022

127 views

If $\alpha$ and $\beta$ are the roots of the quadratic equation $4 x^2-4 x+1=0$, then $\alpha^3+\beta^3$ is equal to

Ankit Asked Aug 2, 2022

by Ankit

1 Answer

4 Votes

127 Views

John Michael Asked Aug 8, 2023

174 views

If x, a, b and c are non-zero vectors such that a.x=0, b.x=0 and c.x=0, then [abc] is

John Michael Asked Aug 8, 2023

by John Michael

1 Answer

1 Vote

174 Views

ALOK_RAJ Asked Aug 31, 2023

206 views

Equation of chord of minimum length passing through (1, 2) of circle $x^{2}+y^{2}-4 x-2 y-4=0$ is ax + by + c = 0 then a+b+c=

ALOK_RAJ Asked Aug 31, 2023

by ALOK_RAJ

1 Answer

0 Votes

206 Views

Chandan Asked Sep 17, 2023

164 views

Trick : If a number is to be divided by 75 then the number is multiplied by 4 and divided by 3 then the decimal point should be placed counting two digits later beside the right side of the product.

Chandan Asked Sep 17, 2023

by Chandan

1 Answer

0 Votes

164 Views

AnjaliYadav Asked Jul 8, 2022

101 views

Any point on the hyperbola $\frac{(x+1)^2}{16}-\frac{(y-2)^2}{4}=1$ is of the form

AnjaliYadav Asked Jul 8, 2022

by AnjaliYadav

1 Answer

3 Votes

101 Views

LEELADHAR YADAV Asked Aug 17, 2023

43 views

Let * be a binary operation on Z. If a*b=2 ab where $a, b \in Z$ then the value of 19 * 16 is

LEELADHAR YADAV Asked Aug 17, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

43 Views

LEELADHAR YADAV Asked Aug 13, 2023

95 views

Let * be a binary operation on Z × Z defined by $(a, b)^*(c, d)=(a+c, b+d) ;(a, b),(c, d) \in Z \times Z$. Find $(1,2) *(3,5)$ and $(4,3) *(1,0)$.

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

95 Views

LEELADHAR YADAV Asked Aug 13, 2023

26 views

If $\oplus$ is a binary operation on R defined by $a \oplus b=\frac{a}{4}+\frac{b}{7}$ for $a, b \in R$, then show that : $(2 \oplus 5) \oplus 7 \neq 2 \oplus(5 \oplus 7)$.

LEELADHAR YADAV Asked Aug 13, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

26 Views

Aayush Asked Feb 23

44 views

The triangle with vertex (1,5),(-3,1) & (-2,1) is

Aayush Asked Feb 23

by Aayush

1 Answer

0 Votes

44 Views

Aayush Asked Feb 23

22 views

If $A=\left[\begin{array}{rr}-1 & 2 \\ 2 & -1\end{array}\right]$ and $B=\left[\begin{array}{l}3 \\ 1\end{array}\right]$, AX=B, then X is equal to

Aayush Asked Feb 23

by Aayush

1 Answer

0 Votes

22 Views

Aayush Asked Mar 2

26 views

If $x^2+y^2=t+\frac{1}{t}$ and $x^4+y^4=t^2+\frac{1}{t^2}$, then $\frac{d y}{d x}$ is equal to

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

26 Views

Aayush Asked Mar 2

28 views

If $x=\sin ^{-1}\left(3 t-4 t^3\right)$ and $y=\cos ^{-1}\left(\sqrt{1-t^2}\right)$, then $\frac{d y}{d x}$ is equal to

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

28 Views

Aayush Asked Feb 23

22 views

If $f(x)=\left\{\begin{array}{ll}\sin x \neq n \pi, n \in Z \\ 0, & \text { otherwise }\end{array}\right.$ and $g(x)=\left\{\begin{array}{ll}x^2+1, & x \neq 0,2 \\ 4, & x=0 \\ 5, & x=2\end{array}\right.$, then $\lim _{x \rightarrow 0} g\{f(x)\}$ is equal to

Aayush Asked Feb 23

by Aayush

1 Answer

0 Votes

22 Views

Ankit Asked Sep 18, 2023

107 views

If the focus and vertex of parabola are the points (0,2) and (0,4) respectively, then its equation is

Ankit Asked Sep 18, 2023

by Ankit

1 Answer

0 Votes

107 Views

John Michael Asked Aug 8, 2023

203 views

If vectors a, b and c are mutually perpendicular vectors such that |a|=|b|=10,|c|=1, then the length of vector 2a + 2b + 40c is

John Michael Asked Aug 8, 2023

by John Michael

1 Answer

1 Vote

203 Views

Saurabh Kumar Verma Asked Jun 9, 2022

127 views

If G be the geometric mean of x and y, then $\frac{1}{G^2-x^2}+\frac{1}{G^2-y^2}$ is equal to

Saurabh Kumar Verma Asked Jun 9, 2022

by Saurabh Kumar Verma

1 Answer

3 Votes

127 Views

John Michael Asked Aug 8, 2023

256 views

The vector equation of the line joining the points i - 2j + k and -2j +3k is

John Michael Asked Aug 8, 2023

by John Michael

1 Answer

0 Votes

256 Views

AnjaliYadav Asked May 17, 2022

90 views

If $\alpha$ and $\beta$ are imaginary cube roots of unity, then $\alpha^4+\beta^4+\frac{1}{\alpha \beta}$ is equal to

AnjaliYadav Asked May 17, 2022

by AnjaliYadav

1 Answer

3 Votes

90 Views

Chandan Asked Sep 11, 2023

59 views

What is the exact value (not decimal) of the sin of a 40 degree angle of a right triangle?

Chandan Asked Sep 11, 2023

by Chandan

0 Answers

0 Votes

59 Views

John Michael Asked Aug 12, 2023

58 views

The mean of n items is $\bar{X}$. If the first term is increased by 1 , second by 2 and so on, then the new mean is

John Michael Asked Aug 12, 2023

by John Michael

1 Answer

0 Votes

58 Views

Chandan Asked Sep 15, 2023

210 views

Two elements X (at. mass =16) and Y (at. mass =14) combine to form compounds A, B and C. The ratio of different masses of Y which combines with a fixed mass of X in A, B and C is 1: 3: 5.

Chandan Asked Sep 15, 2023

by Chandan

1 Answer

0 Votes

210 Views

Aayush Asked Mar 2

41 views

If y is a function of x and $\log (x+y)=2 x y$, then the value of $y^{\prime}(0)$ is equal to

Aayush Asked Mar 2

by Aayush

1 Answer

0 Votes

41 Views

Aayush Asked Feb 22

38 views

The length, breadth and height of a rectangular solid are in the ratio of 3:2:1 and its total surface area is 352cm^2, then find its length.

Aayush Asked Feb 22

by Aayush

1 Answer

0 Votes

38 Views

John Michael Asked Sep 13, 2023

43 views

If $\int_0^p \frac{d x}{1+4 x^2}=\frac{\pi}{8}$, then the value of $p$ is

John Michael Asked Sep 13, 2023

by John Michael

1 Answer

0 Votes

43 Views

LEELADHAR YADAV Asked Aug 28, 2023

54 views

If $g$ is the inverse of a function $f$ and $f^{\prime}(x)=\frac{1}{1+x^5}$, then $g^{\prime}(x)$ equal to:

LEELADHAR YADAV Asked Aug 28, 2023

by LEELADHAR YADAV

1 Answer

0 Votes

54 Views

ASK DOUBTS

A triangle is formed by joining three points A(8,2), B(-4,-4) and C(16,1) on rectangular hyperbola xy=16. If orthocentre of the triangle ABC is (h, k) then product hk is equal to

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

RELATED DOUBTS

CATEGORIES

POPULAR TAGS