InterviewSolution
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InterviewSolution
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in Fig. 631, ir PO I ST. POR 110 andRST 130" find ZORSHint : Draw a line parallel to ST throughpoint R.)Fig. 6.31Ain Fig. 6.32, ir AB CD, 2 APQ = 50° andZPRD 127", find x and y.Fig. 6.326In Fig. 6.33, PQ and RS are two mirrors placedparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at Candagain reflects back along CD. Prove thatAB ICDFig. 6.33 |
| Answer» <p>NCERT Solutions for Class 9 Maths Exercise 6.2</p><p>4. In the given figure, if PQ || ST,and, find.</p><p>[Hint: Draw a line parallel to ST through point R.]</p><p></p><p>Ans.We are given that,and.</p><p>We need to find the value ofin the figure.</p><p></p><p>We need to draw a lineRXthat is parallel to the lineST, to get</p><p>Thus, we have.</p><p>We know that lines parallel to the same line are also parallel to each other.</p><p>We can conclude that.</p><p>, or(Alternate interior angles)</p><p>.</p><p>We know that angles on same side of a transversal are supplementary.</p><p></p><p></p><p>From the figure, we can conclude that</p><p></p><p></p><p>Therefore, we can conclude that.</p><p>NCERT Solutions for Class 9 Maths Exercise 6.2</p><p>5. In the given figure, if AB || CD,and, find x and y.</p><p></p><p>Ans.We are given that,and.</p><p>We need to find the value ofxandyin the figure.</p><p>(Alternate interior angles)</p><p>(Alternate interior angles)</p><p></p><p></p><p>Therefore, we can conclude that.</p><p>NCERT Solutions for Class 9 Maths Exercise 6.2</p><p>6. In the given figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.</p><p>Ans.We are given thatPQandRSare two mirrors that are parallel to each other.</p><p></p><p>We need to prove thatin the figure.</p><p>Let us draw linesBXandCYthat are parallel to each other, to get</p><p>We know that according to the laws of reflection</p><p>and.</p><p>(Alternate interior angles)</p><p>We can conclude that.</p><p>From the figure, we can conclude that</p><p>and</p><p>Therefore, we can conclude that.</p><p>From the figure, we can conclude thatform a pair of alternate interior angles corresponding to the linesABandCD, and transversalBC.</p><p>Therefore, we can conclude that</p> | |