{"id":539986,"date":"2023-04-23T01:35:50","date_gmt":"2023-04-22T20:05:50","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/consider-the-ellipse-ex24y21-let-pm-be-the-ordinate-of-p-on-the-first-quadrant-let-q-be-a-point-on-pm-such-that-qm-is-equal-to-length-of-subtangent-of-p-let-q-traces-the-curve-c-as-p-v-2\/"},"modified":"2025-06-20T13:23:38","modified_gmt":"2025-06-20T07:53:38","slug":"consider-the-ellipse-ex24y21-let-pm-be-the-ordinate-of-p-on-the-first-quadrant-let-q-be-a-point-on-pm-such-that-qm-is-equal-to-length-of-subtangent-of-p-let-q-traces-the-curve-c-as-p-v-2","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/consider-the-ellipseex24y21let-pm-be-the-ordinate-of-p\/","title":{"rendered":"Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies","custom_permalink":"question\/mathematics\/consider-the-ellipseex24y21let-pm-be-the-ordinate-of-p\/"},"categories":[],"acf":{"question":"<p>Consider the ellipse&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>E<\/mi><mo>:<\/mo><mfrac><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mn>4<\/mn><\/mfrac><mo>+<\/mo><msup><mi>y<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mn>1<\/mn><mo>;<\/mo><\/math>&nbsp;Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies<\/p>","options":null,"solution":"<p>The curve CCC traced by QQQ is the same ellipse EEE reflected about the x-axis, x2\/4+y\/2=1.<\/p>","subject":"Mathematics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. 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Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies - Infinity Learn by Sri Chaitanya","description":"Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. Let Q traces the curve C as P varies","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/question\/mathematics\/consider-the-ellipseex24y21let-pm-be-the-ordinate-of-p\/","og_locale":"en_US","og_type":"article","og_title":"Consider the ellipse\u00a0E:x24+y2=1;\u00a0Let PM be the ordinate of P on the first quadrant. Let Q be a point on PM such that QM is equal to length of subtangent of P. 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