Maths-
General
Easy
Question
The eccentricity of an ellipse whose centre is at the origin is
If one of its directrices is
then the equation of the normal to it at
is
The correct answer is: ![4 x minus 2 y equals 1](data:image/png;base64,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)
The given ellipse is depicted in the following figure:
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/839787/1/1197414/Picture4.png)
Eccentricity of ellipse is 1/2. Now
![fraction numerator negative a over denominator e end fraction equals negative 4](data:image/png;base64,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)
That is,
![a equals 4 cross times fraction numerator 1 over denominator 2 end fraction equals 2](data:image/png;base64,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)
Therefore,
![b to the power of 2 end exponent equals a to the power of 2 end exponent open parentheses 1 minus e to the power of 2 end exponent close parentheses equals a to the power of 2 end exponent open parentheses 1 minus fraction numerator 1 over denominator 4 end fraction close parentheses equals 3](data:image/png;base64,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)
Hence, the equation of the given ellipse is written as
![fraction numerator x to the power of 2 end exponent over denominator 4 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 3 end fraction equals 1](data:image/png;base64,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)
![fraction numerator x over denominator 2 end fraction plus fraction numerator 2 y over denominator 3 end fraction cross times y to the power of ´ end exponent equals 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHwAAAAjCAYAAABWxm6cAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAuVJREFUeNrtmt+HlFEYx4+srIxYyUoXsbpIsrpbK1mRlTXWipUkWf0Dc5/sRSJdjJVEspIkMpJkxVprJYkk6SKRrvemi73Iay3T89jvxes47zvnfefMnGfeeT58mfe8M+aZ+Z4fz3neY8xgcI7UIu2QdknfSNeMUlm2SFdJNVyfJn1EmzIknCB9178hHDdJ9xztd3BPAol1vUq64nhfg3RXLe3MV9J46nqJ9FBIbNOY1tPcIN232g6RfpGOqJ2duURq4vVF0oaQuEZJn5HMpZkjvbLalkm31Up/1kkzyIwljJIx0hvSrOMex/cjdX2U9BsdRBJTiGtKouENbIUmBcQyAbNP5rznX+p1E/FL4hQG0THJ+9+mgC0Q/1FPsCbn8QEdYwKj6IBO0v6j6S3+YN7/fok4pY9jbR7xeO8z0jzpBem62ugHr31rlsF10vNI8bzDCPddglZ1j+7PQdJr0nHHvZfI3PtNO0c2C2ifH1L/DpMeYRfDeoy2ysJGfxriAbthdfZ6zO10uw/fwUvR9JCavUh64GhfiZV099rwM1jvy3ILKnpPSkm3lVGfuIB7lRzh3eIyNs9sJnRJt+0hF3+Rg7nysm013M/0TmYzUkq6ezn3dsv0qiK9zfThs6HjtU1f9zDbGDkl3TzDEx3h4QxnQpZ0y3ba7YwpfVSn9LBTOiOhpNvKqJPMatIWNmljJJR0L5v95w02T6u6LeuF2b6mSynpbiKWEUzvHPOWUYIjpaQ7ho6XIK/g0mrN54PSjwZzMWENPyrBnnfFxHuiN/AlXelHgzexZqWz0rOk95HiqWRJdxCOBu9E+M5uS7qiSQTHxluin5pOhMN1NFgCfCJmCev4nNoUhqyjwTGxq08NtSlcqp91NFhKfAvokDNqV/frYqejwVKowXSlJL5HgzWprABFjgZLYRKJm1KCIkeDY8CFoUV0SH4yxZW3P2b/9IkSIAMueoCg15xHp0wgrrzV1bZ8/gO+du/6PGIMvQAAAO90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1pPng8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1uPjI8L21uPjxtaT55PC9taT48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PG1vPiYjeEQ3OzwvbW8+PG1zdXA+PG1pPnk8L21pPjxtaT4mI3hCNDs8L21pPjwvbXN1cD48bW8+PTwvbW8+PG1uPjA8L21uPjwvbWF0aD7qf2EeAAAAAElFTkSuQmCC)
![y to the power of ´ end exponent equals fraction numerator negative 3 x over denominator 4 y end fraction](data:image/png;base64,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)
![open y to the power of ´ end exponent close vertical bar subscript left parenthesis 13 divided by 2 right parenthesis end subscript equals fraction numerator negative 3 over denominator 4 end fraction cross times fraction numerator 2 over denominator 3 end fraction equals fraction numerator negative 1 over denominator 2 end fraction](data:image/png;base64,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)
Therefore, the equation of normal at ![open parentheses 1 comma fraction numerator 3 over denominator 2 end fraction close parentheses text is end text](data:image/png;base64,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)
![table row cell y minus fraction numerator 3 over denominator 2 end fraction equals 2 left parenthesis x minus 1 right parenthesis end cell row cell 2 y minus 3 equals 4 x minus 4 end cell row cell rightwards double arrow 4 x minus 2 y equals 1 end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH8AAABWCAYAAADmHkntAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAva/WvxwAABJxJREFUeNrtne9nV1Ecx4/MVzKRZA96MCZJMqNHM0kkycxEMskkJvnKHvQs6UFiejA96EnSg2QiSTIzkmQyI5lJEpP+hR7MzPj2Ob6fL9d17r3n3t17zufe837xZrvfX+f7Ofec87mf+zmfr1KyOEdaIm2Rtkm/SU9IhxVoPJ9Jl0mtyLER0jJMEy7/YIIwGSL9ghnCYoB0g9f9SzBHGHRimoVJwuMQaZK0RjoLc4RJP58AIFC2YYIwGWanTxq3SXOC7TbHbawNX0hXSH2kfaob8ftDmhZ4Qq7WwJ5fua214Axpkad5LR3xG3f02WOkt6obUNohrZOupRh1RIC9jpPuc1tNnCatYPGwm3Wm2MHUnOROnoo9b4SPS+AVaYYviZNY4ZMA5GSQtBE79pjUFtbOtM6/k9c3eUG6ajiuAy6PAr/SWOblKc7NBCM/5Md8df4o6VOeN5vmMzzKAfa6pd9e7VjIllHDFK99glbC87+rbli6hw5PP/U88lsq540xHUt/Ezv2gJ2LUNivusGlsdjx3ZTXXCTN89/n8464ijpfsQNrjR7dPyL/HyFtskHKHm2dgqoSHVp+T7pgeGw347UfVTccvW4xS5b1PUvtfM1W5O95VZ8bLHs16BB3/LGEx9Om/Z5ftOP4+rrUab93iTDE2uSgS9M5QXrO/k3ayB7LiBXMGy4Ra+PwaV6SJkgLpOsBdPwA+zl9Gc9LutTTg+QDnzg6VvDNoXOc1vltg/OeySxf8m0E4uAt8sjPwhTk0T7RUqyzxzkI47vzCwV5JvlNJwLp/Dw+wmpkTddr6jvSUcPzXvMVgMs2Rykc3p1Q7m9e5Imv+6TxN3aW2FlwiW18XQK3lOxbunqdnynywlO8BkpgMCC/AxhAJk+gmOLrIACS4uug4aTF10GDyYqvg4ZiE18HDcQ2vg4aiG18HTQQX8kbAAAAAAAAAAAAAAAAAAAAjUFaPr3P0ux6J47EG02VtUtaPr2v0uz6+/8U2PnO2yUxn77q0uzPVLfEirTO99KueD69z1o+VZdm10tfb6tzkpF91OWxaVfpmPLpfdTysS3NvpeiDS2e5QYtjOyyLk+edpVGUj69y1o+Lkuz69Hcjn12Ei7r8uRpVymk5dO7rOUTbU+VpdmHDTNcVrtc1OUp0q49r6tZ+fS+avlklWYvauQ1w/fNMrKLujxF2lUY23x6n7V8qtjQmfeEcVWXx1m1sjz59L5q+bgszd5JmRl91eWpbOTnyad3UcvHd2l2k5F91+WprPPzTC8uavn4LM1uMrLPujzOHD4bfNTyAULwUcsHCEBSLR8AAAAAAAAAAAAAAIAPpOTFS639n/X7ubVFUl681Nr/Nr+fW0uk5sX3kLRXQXTn3yUdzDnNSsyLjyNlr4Lozr9H+qvsyqVLzYuPU8ZeBVe/oulk6rGRHgFpiZxS8+KjSNirUJuRH50WdUMXEh6Xmhcfpcy9Co3pfNuRP5cy8qXmxfcoe69CY6b9MtZ8qXnxGsl7FcR7+/0lfzGXefHS9yo0thK5hLx4aXsVgu18H3nx0vYqpLULeAR7FQIGexUCpbZ7Ff4Dvw0QGZSKttIAAAHAdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZT48bXRyPjxtdGQ+PG1pPnk8L21pPjxtbz4tPC9tbz48bWZyYWM+PG1uPjM8L21uPjxtbj4yPC9tbj48L21mcmFjPjxtbz49PC9tbz48bW4+MjwvbW4+PG1vPig8L21vPjxtaT54PC9taT48bW8+LTwvbW8+PG1uPjE8L21uPjxtbz4pPC9tbz48L210ZD48L210cj48bXRyPjxtdGQ+PG1uPjI8L21uPjxtaT55PC9taT48bW8+LTwvbW8+PG1uPjM8L21uPjxtbz49PC9tbz48bW4+NDwvbW4+PG1pPng8L21pPjxtbz4tPC9tbz48bW4+NDwvbW4+PC9tdGQ+PC9tdHI+PG10cj48bXRkPjxtbz4mI3gyMUQyOzwvbW8+PG1uPjQ8L21uPjxtaT54PC9taT48bW8+LTwvbW8+PG1uPjI8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjE8L21uPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWF0aD67QtWJAAAAAElFTkSuQmCC)
Related Questions to study
Maths-
Find the mean absolute deviation of the given numbers: 6,10,3,3,5,8,6,2
Find the mean absolute deviation of the given numbers: 6,10,3,3,5,8,6,2
Maths-General
Maths-
Use counter to add -5 + 2, where
is + and
Is –
Start with: ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAAAiCAYAAABSmEu/AAAA1klEQVR4nO3bsQ3CMBRF0R/ECvSMQMMkLMIoLMIkNIxAzxCmRxQJ8cMSOqe29BzpSmmSqbXWCgI2oy/A/xIXMeIiZjvn0OF06T58v55nneu5PWLzmzv8+pl77b1vzYqrqmq3P3a5QFXV83FbdL7H9ojNNXf49TOv3fu05bVIjLiIERcx4iJGXMSIixhxESMuYsRFjLiIERcx4iJGXMSIixhxESMuYmZ/LLj0Y7ueRmyPfN4R+4m9ya9lpHgtEiMuYsRFjLiIERcx4iJGXMSIixhxESMuYl6TsTMvPb06jAAAAABJRU5ErkJggg==)
You add: ![](data:image/png;base64,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)
Which picture shows the sum:
Use counter to add -5 + 2, where
is + and
Is –
Start with: ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAAAiCAYAAABSmEu/AAAA1klEQVR4nO3bsQ3CMBRF0R/ECvSMQMMkLMIoLMIkNIxAzxCmRxQJ8cMSOqe29BzpSmmSqbXWCgI2oy/A/xIXMeIiZjvn0OF06T58v55nneu5PWLzmzv8+pl77b1vzYqrqmq3P3a5QFXV83FbdL7H9ojNNXf49TOv3fu05bVIjLiIERcx4iJGXMSIixhxESMuYsRFjLiIERcx4iJGXMSIixhxESMuYmZ/LLj0Y7ueRmyPfN4R+4m9ya9lpHgtEiMuYsRFjLiIERcx4iJGXMSIixhxESMuYl6TsTMvPb06jAAAAABJRU5ErkJggg==)
You add: ![](data:image/png;base64,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)
Which picture shows the sum:
Maths-General
Maths-
The line
is a normal to the ellipse
is
The line
is a normal to the ellipse
is
Maths-General
Maths-
While drawing the map of USA, Jassica represented the distance between two cities as 2cm there the actual distance is 100km. What is the scale of the map.
While drawing the map of USA, Jassica represented the distance between two cities as 2cm there the actual distance is 100km. What is the scale of the map.
Maths-General
Maths-
Height of 5 students in a classroom are 125 cm,134 cm, 157 cm,110 cm,146 cm.
Find the range of height
Height of 5 students in a classroom are 125 cm,134 cm, 157 cm,110 cm,146 cm.
Find the range of height
Maths-General
Chemistry-
These are the first eight ionization energies for a particular neutral atom. All values are expressed in MJ mol-1. How many valence electrons do/does this atom possess?
1st |
2nd |
3rd |
4th |
5th |
6th |
7th |
8th |
1.31 |
3.39 |
5.30 |
7.47 |
10.99 |
13.33 |
71.33 |
84.01 |
These are the first eight ionization energies for a particular neutral atom. All values are expressed in MJ mol-1. How many valence electrons do/does this atom possess?
1st |
2nd |
3rd |
4th |
5th |
6th |
7th |
8th |
1.31 |
3.39 |
5.30 |
7.47 |
10.99 |
13.33 |
71.33 |
84.01 |
Chemistry-General
Maths-
Teacher tells the Class that highest marks obtained by student in her class is twice the lowest marks plus 7 . The highest score is 87 . What is the lowest score?
Teacher tells the Class that highest marks obtained by student in her class is twice the lowest marks plus 7 . The highest score is 87 . What is the lowest score?
Maths-General
Maths-
Polly is measuring the temperature of different chemical mixture. The temperature of two mixtures are shown in table as
![](data:image/png;base64,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)
Which mixture has highest absolute value
Polly is measuring the temperature of different chemical mixture. The temperature of two mixtures are shown in table as
![](data:image/png;base64,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)
Which mixture has highest absolute value
Maths-General
Maths-
Which of the following represents x
4
Which of the following represents x
4
Maths-General
Maths-
Janier earns a profit of $2a every day How much money will she earn at a profit at the end of 4 days.
Janier earns a profit of $2a every day How much money will she earn at a profit at the end of 4 days.
Maths-General
Maths-
In a classroom then are 45 students in which 30 are boys are rest are female, find the ratio of number of girls to the number of boys.
In a classroom then are 45 students in which 30 are boys are rest are female, find the ratio of number of girls to the number of boys.
Maths-General
Maths-
Find the area between the two concentric circles of radius 3cm and 4cm.
Find the area between the two concentric circles of radius 3cm and 4cm.
Maths-General
Maths-
Which of the following is correct:
Which of the following is correct:
Maths-General
Maths-
Lawren has $1000 in a saving account. He wants to save at least $400 before winter. He withdraws $50 every week for daily requirements. Write an inequality that represents Lawren’s situation.
For such questions, we have to see which quantity is constant and variable. We have be careful about the words like “at least”, “at most”, etc.
Lawren has $1000 in a saving account. He wants to save at least $400 before winter. He withdraws $50 every week for daily requirements. Write an inequality that represents Lawren’s situation.
Maths-General
For such questions, we have to see which quantity is constant and variable. We have be careful about the words like “at least”, “at most”, etc.
Maths-
A man goes 3 kms east from point A and takes right tum from point B to move 4 kms to point c. What is the minimum distance between paint A and point C
A man goes 3 kms east from point A and takes right tum from point B to move 4 kms to point c. What is the minimum distance between paint A and point C
Maths-General