{"id":8023,"date":"2024-04-15T02:53:55","date_gmt":"2024-04-15T02:53:55","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=8023"},"modified":"2024-04-15T02:53:55","modified_gmt":"2024-04-15T02:53:55","slug":"which-of-the-following-shapes-is-preferred-in-a-valley-curve-a-simple-parabola-b-cubic-parabola-c-spiral-d-lemniscate","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-shapes-is-preferred-in-a-valley-curve-a-simple-parabola-b-cubic-parabola-c-spiral-d-lemniscate\/","title":{"rendered":"Which of the following shapes is preferred in a valley curve ? A. simple parabola B. cubic parabola C. spiral D. lemniscate"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;simple parabola&#8221; option2=&#8221;cubic parabola&#8221; option3=&#8221;spiral&#8221; option4=&#8221;lemniscate&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is A. simple parabola.<\/p>\n<p>A simple parabola is a curve that is defined by the equation $y=ax^2$, where $a$ is a constant. The graph of a simple parabola is a U-shaped curve that opens upwards if $a&gt;0$ and downwards if $a&lt;0$.<\/p>\n<p>A cubic parabola is a curve that is defined by the equation $y=ax^3$, where $a$ is a constant. The graph of a cubic parabola is a three-dimensional curve that has a single maximum point if $a&gt;0$ and a single minimum point if $a&lt;0$.<\/p>\n<p>A spiral is a curve that winds around a central point in a continuous way. The graph of a spiral is a two-dimensional curve that has no beginning and no end.<\/p>\n<p>A lemniscate is a curve that is defined by the equation $x^2+y^2=4$. The graph of a lemniscate is a four-leafed curve that is symmetrical about the $x$-axis and the $y$-axis.<\/p>\n<p>Of the four shapes, a simple parabola is the most common shape used in valley curves. This is because a simple parabola is a smooth, continuous curve that is easy to generate and control. Additionally, a simple parabola can be used to create a variety of different valley shapes, from shallow valleys to deep valleys.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;simple parabola&#8221; option2=&#8221;cubic parabola&#8221; option3=&#8221;spiral&#8221; option4=&#8221;lemniscate&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[652],"tags":[],"class_list":["post-8023","post","type-post","status-publish","format-standard","hentry","category-highway-engineering","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Which of the following shapes is preferred in a valley curve ? 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