More insight into the possible solutions for Q2.

1. More insight into the possible solutions for Q2. A very nice exercise on lines and planes! Many but not exhaustive solutions! Find errors if there are any

2. pH bH rH dH aH cH a3 c3 b3 dV aV cV b1 bV c1 d1 a1 c4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. c1 d4 b1 b4 Name: _______________________________ Roll Number: _________________ BATCH: _________________

3. pH bH rH dH aH cH a3 c3 b3 dV aV cV b1 bV c1 d2 a1 c4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. c2 d4 b2 b4 Name: _______________________________ Roll Number: _________________ BATCH: _________________

4. PQR in other views can be determined pH bH rH dH qH aH cH dV aV q1' r1 p1' q1” cV b1 bV c1 d2 a1 r2 p1 q2 q1 p2 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. c2 Solution unlikely from this lead b2 Name: _______________________________ Roll Number: _________________ BATCH: _________________

5. pH bH rH qH” dH aH cH rV dV q1” qV” pV' aV q1' p1' r1 cV q1” b1 bV c1 a1 Hit and trial to determine q pV p1 q1 c4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. q4" d4 r4 p4' b4 Name: _______________________________ Roll Number: _________________ BATCH: _________________ p4

6. pH bH rH Solution unlikely with q' dH aH cH rV dV pV' aV q1' q1' p1' r1 cV q1” ? ? b1 bV c1 a1 Hit and trial to determine q pV p1 q1 c4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. d4 r4 p4' b4 Name: _______________________________ Roll Number: _________________ BATCH: _________________ p4

7. qH pH bH rH dH aH cH rV dV pV' aV q1' p1' r1 cV q1” b1 bV q1 c1 qV a1 Hit and trial to determine q pV p1 q1 c4 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. d4 r4 p4' q4 b4 Name: _______________________________ Roll Number: _________________ BATCH: _________________ p4

8. pH’ pH bH rH’ rH qH2’ r3' qH2 qH1 r3 qH1’ dH q3 aH p3 cH a3 c3 b3 qV2 rV dV rV’ qV1 pV q3' Join the primes to get another set of triangles PQR! p3' aV cV qV2' bV qV1' pV' c4 q42' Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. q42 q41' q41 Are solutions likely from this ‘r’ line? d4 r4 r4' p4 b4 p4' Name: _______________________________ Roll Number: _________________ BATCH: _________________

9. pH Cannot shift Leftward beyond this limit bH rH qH dH r3 aH p3 q3 cH a3 c3 b3 dV qV rV Insufficient length q3' pV p3' aV cV Solution unlikely from this lead bV Hit and trial method to determine ‘q’ d1 r2 q2 p2 Q2 A, B. Given are two planes ABC and DEF, and the two points of a triangle PQR in the horizontal plane. PQ is parallel to the plane ABC in its edge view. In that view, P is at a distance of 25 mm from ABC. |PQ| = 20 mm in the same view with Q oriented towards C. In the edge view of plane BCD, R is at 40 mm from the same plane and |RQ| = 15 mm. Find triangle PQR in all three views. Also, draw PQR in true shape. c1 Solution unlikely from this lead b1 Name: _______________________________ Roll Number: _________________ BATCH: _________________